xref: /petsc/src/mat/impls/baij/seq/baij.c (revision 41c166b161c7dce5d06e24db58189774b43d9506)
1 #define PETSCMAT_DLL
2 
3 /*
4     Defines the basic matrix operations for the BAIJ (compressed row)
5   matrix storage format.
6 */
7 #include "../src/mat/impls/baij/seq/baij.h"
8 #include "petscsys.h"                     /*I "petscmat.h" I*/
9 
10 #include "../src/mat/blockinvert.h"
11 
12 #undef __FUNCT__
13 #define __FUNCT__ "MatSeqBAIJInvertBlockDiagonal"
14 /*@
15   MatSeqBAIJInvertBlockDiagonal - Inverts the block diagonal entries.
16 
17   Collective on Mat
18 
19   Input Parameters:
20 . mat - the matrix
21 
22   Level: advanced
23 @*/
24 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJInvertBlockDiagonal(Mat mat)
25 {
26   PetscErrorCode ierr,(*f)(Mat);
27 
28   PetscFunctionBegin;
29   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
30   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
31   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
32 
33   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatSeqBAIJInvertBlockDiagonal_C",(void (**)(void))&f);CHKERRQ(ierr);
34   if (f) {
35     ierr = (*f)(mat);CHKERRQ(ierr);
36   } else {
37     SETERRQ(PETSC_ERR_SUP,"Currently only implemented for SeqBAIJ.");
38   }
39   PetscFunctionReturn(0);
40 }
41 
42 EXTERN_C_BEGIN
43 #undef __FUNCT__
44 #define __FUNCT__ "MatInvertBlockDiagonal_SeqBAIJ"
45 PetscErrorCode PETSCMAT_DLLEXPORT MatInvertBlockDiagonal_SeqBAIJ(Mat A)
46 {
47   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*) A->data;
48   PetscErrorCode ierr;
49   PetscInt       *diag_offset,i,bs = A->rmap->bs,mbs = a->mbs;
50   MatScalar      *v = a->a,*odiag,*diag,*mdiag;
51   PetscReal      shift = 0.0;
52 
53   PetscFunctionBegin;
54   if (a->idiagvalid) PetscFunctionReturn(0);
55   ierr = MatMarkDiagonal_SeqBAIJ(A);CHKERRQ(ierr);
56   diag_offset = a->diag;
57   if (!a->idiag) {
58     ierr = PetscMalloc(2*bs*bs*mbs*sizeof(PetscScalar),&a->idiag);CHKERRQ(ierr);
59     ierr = PetscLogObjectMemory(A,2*bs*bs*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
60   }
61   diag  = a->idiag;
62   mdiag = a->idiag+bs*bs*mbs;
63   /* factor and invert each block */
64   switch (bs){
65     case 1:
66       for (i=0; i<mbs; i++) {
67         odiag = v + 1*diag_offset[i];
68         diag[0]  = odiag[0];
69         mdiag[0] = odiag[0];
70         diag[0]  = 1.0 / (diag[0] + shift);
71         diag    += 1;
72         mdiag   += 1;
73       }
74       break;
75     case 2:
76       for (i=0; i<mbs; i++) {
77         odiag   = v + 4*diag_offset[i];
78         diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
79 	mdiag[0] = odiag[0]; mdiag[1] = odiag[1]; mdiag[2] = odiag[2]; mdiag[3] = odiag[3];
80 	ierr     = Kernel_A_gets_inverse_A_2(diag,shift);CHKERRQ(ierr);
81 	diag    += 4;
82 	mdiag   += 4;
83       }
84       break;
85     case 3:
86       for (i=0; i<mbs; i++) {
87         odiag    = v + 9*diag_offset[i];
88         diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
89         diag[4]  = odiag[4]; diag[5] = odiag[5]; diag[6] = odiag[6]; diag[7] = odiag[7];
90         diag[8]  = odiag[8];
91         mdiag[0] = odiag[0]; mdiag[1] = odiag[1]; mdiag[2] = odiag[2]; mdiag[3] = odiag[3];
92         mdiag[4] = odiag[4]; mdiag[5] = odiag[5]; mdiag[6] = odiag[6]; mdiag[7] = odiag[7];
93         mdiag[8] = odiag[8];
94 	ierr     = Kernel_A_gets_inverse_A_3(diag,shift);CHKERRQ(ierr);
95 	diag    += 9;
96 	mdiag   += 9;
97       }
98       break;
99     case 4:
100       for (i=0; i<mbs; i++) {
101         odiag  = v + 16*diag_offset[i];
102         ierr   = PetscMemcpy(diag,odiag,16*sizeof(PetscScalar));CHKERRQ(ierr);
103         ierr   = PetscMemcpy(mdiag,odiag,16*sizeof(PetscScalar));CHKERRQ(ierr);
104 	ierr   = Kernel_A_gets_inverse_A_4(diag,shift);CHKERRQ(ierr);
105 	diag  += 16;
106 	mdiag += 16;
107       }
108       break;
109     case 5:
110       for (i=0; i<mbs; i++) {
111         odiag = v + 25*diag_offset[i];
112         ierr   = PetscMemcpy(diag,odiag,25*sizeof(PetscScalar));CHKERRQ(ierr);
113         ierr   = PetscMemcpy(mdiag,odiag,25*sizeof(PetscScalar));CHKERRQ(ierr);
114 	ierr   = Kernel_A_gets_inverse_A_5(diag,shift);CHKERRQ(ierr);
115 	diag  += 25;
116 	mdiag += 25;
117       }
118       break;
119     case 6:
120       for (i=0; i<mbs; i++) {
121         odiag = v + 36*diag_offset[i];
122         ierr   = PetscMemcpy(diag,odiag,36*sizeof(PetscScalar));CHKERRQ(ierr);
123         ierr   = PetscMemcpy(mdiag,odiag,36*sizeof(PetscScalar));CHKERRQ(ierr);
124 	ierr   = Kernel_A_gets_inverse_A_6(diag,shift);CHKERRQ(ierr);
125 	diag  += 36;
126 	mdiag += 36;
127       }
128       break;
129     default:
130       SETERRQ1(PETSC_ERR_SUP,"not supported for block size %D",bs);
131   }
132   a->idiagvalid = PETSC_TRUE;
133   PetscFunctionReturn(0);
134 }
135 EXTERN_C_END
136 
137 #undef __FUNCT__
138 #define __FUNCT__ "MatSOR_SeqBAIJ_1"
139 PetscErrorCode MatSOR_SeqBAIJ_1(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
140 {
141   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
142   PetscScalar        *x,x1,s1;
143   const PetscScalar  *b;
144   const MatScalar    *aa = a->a, *idiag,*mdiag,*v;
145   PetscErrorCode     ierr;
146   PetscInt           m = a->mbs,i,i2,nz,j;
147   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
148 
149   PetscFunctionBegin;
150   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
151   its = its*lits;
152   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
153   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
154   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
155   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
156   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
157 
158   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
159 
160   diag  = a->diag;
161   idiag = a->idiag;
162   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
163   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
164 
165   if (flag & SOR_ZERO_INITIAL_GUESS) {
166     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
167       x[0] = b[0]*idiag[0];
168       i2     = 1;
169       idiag += 1;
170       for (i=1; i<m; i++) {
171         v     = aa + ai[i];
172         vi    = aj + ai[i];
173         nz    = diag[i] - ai[i];
174         s1    = b[i2];
175         for (j=0; j<nz; j++) {
176           s1 -= v[j]*x[vi[j]];
177         }
178         x[i2]   = idiag[0]*s1;
179         idiag   += 1;
180         i2      += 1;
181       }
182       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
183       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
184     }
185     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
186         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
187       i2    = 0;
188       mdiag = a->idiag+a->mbs;
189       for (i=0; i<m; i++) {
190         x1      = x[i2];
191         x[i2]   = mdiag[0]*x1;
192         mdiag  += 1;
193         i2     += 1;
194       }
195       ierr = PetscLogFlops(m);CHKERRQ(ierr);
196     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
197       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
198     }
199     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
200       idiag   = a->idiag+a->mbs - 1;
201       i2      = m - 1;
202       x1      = x[i2];
203       x[i2]   = idiag[0]*x1;
204       idiag -= 1;
205       i2    -= 1;
206       for (i=m-2; i>=0; i--) {
207         v     = aa + (diag[i]+1);
208         vi    = aj + diag[i] + 1;
209         nz    = ai[i+1] - diag[i] - 1;
210         s1    = x[i2];
211         for (j=0; j<nz; j++) {
212           s1 -= v[j]*x[vi[j]];
213         }
214         x[i2]   = idiag[0]*s1;
215         idiag   -= 1;
216         i2      -= 1;
217       }
218       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
219     }
220   } else {
221     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
222   }
223   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
224   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
225   PetscFunctionReturn(0);
226 }
227 
228 #undef __FUNCT__
229 #define __FUNCT__ "MatSOR_SeqBAIJ_2"
230 PetscErrorCode MatSOR_SeqBAIJ_2(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
231 {
232   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
233   PetscScalar        *x,x1,x2,s1,s2;
234   const PetscScalar  *b;
235   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
236   PetscErrorCode     ierr;
237   PetscInt           m = a->mbs,i,i2,nz,idx,j,it;
238   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
239 
240   PetscFunctionBegin;
241   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
242   its = its*lits;
243   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
244   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
245   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
246   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
247   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
248 
249   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
250 
251   diag  = a->diag;
252   idiag = a->idiag;
253   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
254   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
255 
256   if (flag & SOR_ZERO_INITIAL_GUESS) {
257     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
258       x[0] = b[0]*idiag[0] + b[1]*idiag[2];
259       x[1] = b[0]*idiag[1] + b[1]*idiag[3];
260       i2     = 2;
261       idiag += 4;
262       for (i=1; i<m; i++) {
263 	v     = aa + 4*ai[i];
264 	vi    = aj + ai[i];
265 	nz    = diag[i] - ai[i];
266 	s1    = b[i2]; s2 = b[i2+1];
267         for (j=0; j<nz; j++) {
268 	  idx  = 2*vi[j];
269           it   = 4*j;
270 	  x1   = x[idx]; x2 = x[1+idx];
271 	  s1  -= v[it]*x1 + v[it+2]*x2;
272 	  s2  -= v[it+1]*x1 + v[it+3]*x2;
273 	}
274 	x[i2]   = idiag[0]*s1 + idiag[2]*s2;
275 	x[i2+1] = idiag[1]*s1 + idiag[3]*s2;
276         idiag   += 4;
277         i2      += 2;
278       }
279       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
280       ierr = PetscLogFlops(4.0*(a->nz));CHKERRQ(ierr);
281     }
282     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
283         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
284       i2    = 0;
285       mdiag = a->idiag+4*a->mbs;
286       for (i=0; i<m; i++) {
287         x1      = x[i2]; x2 = x[i2+1];
288         x[i2]   = mdiag[0]*x1 + mdiag[2]*x2;
289         x[i2+1] = mdiag[1]*x1 + mdiag[3]*x2;
290         mdiag  += 4;
291         i2     += 2;
292       }
293       ierr = PetscLogFlops(6.0*m);CHKERRQ(ierr);
294     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
295       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
296     }
297     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
298       idiag   = a->idiag+4*a->mbs - 4;
299       i2      = 2*m - 2;
300       x1      = x[i2]; x2 = x[i2+1];
301       x[i2]   = idiag[0]*x1 + idiag[2]*x2;
302       x[i2+1] = idiag[1]*x1 + idiag[3]*x2;
303       idiag -= 4;
304       i2    -= 2;
305       for (i=m-2; i>=0; i--) {
306 	v     = aa + 4*(diag[i]+1);
307 	vi    = aj + diag[i] + 1;
308 	nz    = ai[i+1] - diag[i] - 1;
309 	s1    = x[i2]; s2 = x[i2+1];
310         for (j=0; j<nz; j++) {
311  	  idx  = 2*vi[j];
312           it   = 4*j;
313 	  x1   = x[idx]; x2 = x[1+idx];
314 	  s1  -= v[it]*x1 + v[it+2]*x2;
315 	  s2  -= v[it+1]*x1 + v[it+3]*x2;
316 	}
317 	x[i2]   = idiag[0]*s1 + idiag[2]*s2;
318 	x[i2+1] = idiag[1]*s1 + idiag[3]*s2;
319         idiag   -= 4;
320         i2      -= 2;
321       }
322       ierr = PetscLogFlops(4.0*(a->nz));CHKERRQ(ierr);
323     }
324   } else {
325     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
326   }
327   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
328   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
329   PetscFunctionReturn(0);
330 }
331 
332 #undef __FUNCT__
333 #define __FUNCT__ "MatSOR_SeqBAIJ_3"
334 PetscErrorCode MatSOR_SeqBAIJ_3(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
335 {
336   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
337   PetscScalar        *x,x1,x2,x3,s1,s2,s3;
338   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
339   const PetscScalar  *b;
340   PetscErrorCode     ierr;
341   PetscInt           m = a->mbs,i,i2,nz,idx;
342   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
343 
344   PetscFunctionBegin;
345   its = its*lits;
346   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
347   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
348   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
349   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
350   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
351   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
352 
353   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
354 
355   diag  = a->diag;
356   idiag = a->idiag;
357   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
358   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
359 
360   if (flag & SOR_ZERO_INITIAL_GUESS) {
361     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
362       x[0] = b[0]*idiag[0] + b[1]*idiag[3] + b[2]*idiag[6];
363       x[1] = b[0]*idiag[1] + b[1]*idiag[4] + b[2]*idiag[7];
364       x[2] = b[0]*idiag[2] + b[1]*idiag[5] + b[2]*idiag[8];
365       i2     = 3;
366       idiag += 9;
367       for (i=1; i<m; i++) {
368         v     = aa + 9*ai[i];
369         vi    = aj + ai[i];
370         nz    = diag[i] - ai[i];
371         s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2];
372         while (nz--) {
373           idx  = 3*(*vi++);
374           x1   = x[idx]; x2 = x[1+idx];x3 = x[2+idx];
375           s1  -= v[0]*x1 + v[3]*x2 + v[6]*x3;
376           s2  -= v[1]*x1 + v[4]*x2 + v[7]*x3;
377           s3  -= v[2]*x1 + v[5]*x2 + v[8]*x3;
378           v   += 9;
379         }
380         x[i2]   = idiag[0]*s1 + idiag[3]*s2 + idiag[6]*s3;
381         x[i2+1] = idiag[1]*s1 + idiag[4]*s2 + idiag[7]*s3;
382         x[i2+2] = idiag[2]*s1 + idiag[5]*s2 + idiag[8]*s3;
383         idiag   += 9;
384         i2      += 3;
385       }
386       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
387       ierr = PetscLogFlops(9.0*(a->nz));CHKERRQ(ierr);
388     }
389     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
390         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
391       i2    = 0;
392       mdiag = a->idiag+9*a->mbs;
393       for (i=0; i<m; i++) {
394         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2];
395         x[i2]   = mdiag[0]*x1 + mdiag[3]*x2 + mdiag[6]*x3;
396         x[i2+1] = mdiag[1]*x1 + mdiag[4]*x2 + mdiag[7]*x3;
397         x[i2+2] = mdiag[2]*x1 + mdiag[5]*x2 + mdiag[8]*x3;
398         mdiag  += 9;
399         i2     += 3;
400       }
401       ierr = PetscLogFlops(15.0*m);CHKERRQ(ierr);
402     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
403       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
404     }
405     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
406       idiag   = a->idiag+9*a->mbs - 9;
407       i2      = 3*m - 3;
408       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2];
409       x[i2]   = idiag[0]*x1 + idiag[3]*x2 + idiag[6]*x3;
410       x[i2+1] = idiag[1]*x1 + idiag[4]*x2 + idiag[7]*x3;
411       x[i2+2] = idiag[2]*x1 + idiag[5]*x2 + idiag[8]*x3;
412       idiag -= 9;
413       i2    -= 3;
414       for (i=m-2; i>=0; i--) {
415         v     = aa + 9*(diag[i]+1);
416         vi    = aj + diag[i] + 1;
417         nz    = ai[i+1] - diag[i] - 1;
418         s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2];
419         while (nz--) {
420           idx  = 3*(*vi++);
421           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx];
422           s1  -= v[0]*x1 + v[3]*x2 + v[6]*x3;
423           s2  -= v[1]*x1 + v[4]*x2 + v[7]*x3;
424           s3  -= v[2]*x1 + v[5]*x2 + v[8]*x3;
425           v   += 9;
426         }
427         x[i2]   = idiag[0]*s1 + idiag[3]*s2 + idiag[6]*s3;
428         x[i2+1] = idiag[1]*s1 + idiag[4]*s2 + idiag[7]*s3;
429         x[i2+2] = idiag[2]*s1 + idiag[5]*s2 + idiag[8]*s3;
430         idiag   -= 9;
431         i2      -= 3;
432       }
433       ierr = PetscLogFlops(9.0*(a->nz));CHKERRQ(ierr);
434     }
435   } else {
436     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
437   }
438   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
439   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
440   PetscFunctionReturn(0);
441 }
442 
443 #undef __FUNCT__
444 #define __FUNCT__ "MatSOR_SeqBAIJ_4"
445 PetscErrorCode MatSOR_SeqBAIJ_4(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
446 {
447   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
448   PetscScalar        *x,x1,x2,x3,x4,s1,s2,s3,s4;
449   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
450   const PetscScalar  *b;
451   PetscErrorCode     ierr;
452   PetscInt           m = a->mbs,i,i2,nz,idx;
453   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
454 
455   PetscFunctionBegin;
456   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
457   its = its*lits;
458   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
459   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
460   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
461   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
462   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
463 
464   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
465 
466   diag  = a->diag;
467   idiag = a->idiag;
468   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
469   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
470 
471   if (flag & SOR_ZERO_INITIAL_GUESS) {
472     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
473       x[0] = b[0]*idiag[0] + b[1]*idiag[4] + b[2]*idiag[8]  + b[3]*idiag[12];
474       x[1] = b[0]*idiag[1] + b[1]*idiag[5] + b[2]*idiag[9]  + b[3]*idiag[13];
475       x[2] = b[0]*idiag[2] + b[1]*idiag[6] + b[2]*idiag[10] + b[3]*idiag[14];
476       x[3] = b[0]*idiag[3] + b[1]*idiag[7] + b[2]*idiag[11] + b[3]*idiag[15];
477       i2     = 4;
478       idiag += 16;
479       for (i=1; i<m; i++) {
480 	v     = aa + 16*ai[i];
481 	vi    = aj + ai[i];
482 	nz    = diag[i] - ai[i];
483 	s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3];
484 	while (nz--) {
485 	  idx  = 4*(*vi++);
486 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx];
487 	  s1  -= v[0]*x1 + v[4]*x2 + v[8]*x3  + v[12]*x4;
488 	  s2  -= v[1]*x1 + v[5]*x2 + v[9]*x3  + v[13]*x4;
489 	  s3  -= v[2]*x1 + v[6]*x2 + v[10]*x3 + v[14]*x4;
490 	  s4  -= v[3]*x1 + v[7]*x2 + v[11]*x3 + v[15]*x4;
491 	  v   += 16;
492 	}
493 	x[i2]   = idiag[0]*s1 + idiag[4]*s2 + idiag[8]*s3  + idiag[12]*s4;
494 	x[i2+1] = idiag[1]*s1 + idiag[5]*s2 + idiag[9]*s3  + idiag[13]*s4;
495 	x[i2+2] = idiag[2]*s1 + idiag[6]*s2 + idiag[10]*s3 + idiag[14]*s4;
496 	x[i2+3] = idiag[3]*s1 + idiag[7]*s2 + idiag[11]*s3 + idiag[15]*s4;
497         idiag   += 16;
498         i2      += 4;
499       }
500       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
501       ierr = PetscLogFlops(16.0*(a->nz));CHKERRQ(ierr);
502     }
503     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
504         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
505       i2    = 0;
506       mdiag = a->idiag+16*a->mbs;
507       for (i=0; i<m; i++) {
508         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3];
509         x[i2]   = mdiag[0]*x1 + mdiag[4]*x2 + mdiag[8]*x3  + mdiag[12]*x4;
510         x[i2+1] = mdiag[1]*x1 + mdiag[5]*x2 + mdiag[9]*x3  + mdiag[13]*x4;
511         x[i2+2] = mdiag[2]*x1 + mdiag[6]*x2 + mdiag[10]*x3 + mdiag[14]*x4;
512         x[i2+3] = mdiag[3]*x1 + mdiag[7]*x2 + mdiag[11]*x3 + mdiag[15]*x4;
513         mdiag  += 16;
514         i2     += 4;
515       }
516       ierr = PetscLogFlops(28.0*m);CHKERRQ(ierr);
517     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
518       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
519     }
520     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
521       idiag   = a->idiag+16*a->mbs - 16;
522       i2      = 4*m - 4;
523       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3];
524       x[i2]   = idiag[0]*x1 + idiag[4]*x2 + idiag[8]*x3  + idiag[12]*x4;
525       x[i2+1] = idiag[1]*x1 + idiag[5]*x2 + idiag[9]*x3  + idiag[13]*x4;
526       x[i2+2] = idiag[2]*x1 + idiag[6]*x2 + idiag[10]*x3 + idiag[14]*x4;
527       x[i2+3] = idiag[3]*x1 + idiag[7]*x2 + idiag[11]*x3 + idiag[15]*x4;
528       idiag -= 16;
529       i2    -= 4;
530       for (i=m-2; i>=0; i--) {
531 	v     = aa + 16*(diag[i]+1);
532 	vi    = aj + diag[i] + 1;
533 	nz    = ai[i+1] - diag[i] - 1;
534 	s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3];
535 	while (nz--) {
536 	  idx  = 4*(*vi++);
537 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx];
538 	  s1  -= v[0]*x1 + v[4]*x2 + v[8]*x3  + v[12]*x4;
539 	  s2  -= v[1]*x1 + v[5]*x2 + v[9]*x3  + v[13]*x4;
540 	  s3  -= v[2]*x1 + v[6]*x2 + v[10]*x3 + v[14]*x4;
541 	  s4  -= v[3]*x1 + v[7]*x2 + v[11]*x3 + v[15]*x4;
542 	  v   += 16;
543 	}
544 	x[i2]   = idiag[0]*s1 + idiag[4]*s2 + idiag[8]*s3  + idiag[12]*s4;
545 	x[i2+1] = idiag[1]*s1 + idiag[5]*s2 + idiag[9]*s3  + idiag[13]*s4;
546 	x[i2+2] = idiag[2]*s1 + idiag[6]*s2 + idiag[10]*s3 + idiag[14]*s4;
547 	x[i2+3] = idiag[3]*s1 + idiag[7]*s2 + idiag[11]*s3 + idiag[15]*s4;
548         idiag   -= 16;
549         i2      -= 4;
550       }
551       ierr = PetscLogFlops(16.0*(a->nz));CHKERRQ(ierr);
552     }
553   } else {
554     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
555   }
556   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
557   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
558   PetscFunctionReturn(0);
559 }
560 
561 #undef __FUNCT__
562 #define __FUNCT__ "MatSOR_SeqBAIJ_5"
563 PetscErrorCode MatSOR_SeqBAIJ_5(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
564 {
565   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
566   PetscScalar        *x,x1,x2,x3,x4,x5,s1,s2,s3,s4,s5;
567   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
568   const PetscScalar  *b;
569   PetscErrorCode     ierr;
570   PetscInt           m = a->mbs,i,i2,nz,idx;
571   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
572 
573   PetscFunctionBegin;
574   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
575   its = its*lits;
576   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
577   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
578   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
579   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
580   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
581 
582   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
583 
584   diag  = a->diag;
585   idiag = a->idiag;
586   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
587   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
588 
589   if (flag & SOR_ZERO_INITIAL_GUESS) {
590     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
591       x[0] = b[0]*idiag[0] + b[1]*idiag[5] + b[2]*idiag[10] + b[3]*idiag[15] + b[4]*idiag[20];
592       x[1] = b[0]*idiag[1] + b[1]*idiag[6] + b[2]*idiag[11] + b[3]*idiag[16] + b[4]*idiag[21];
593       x[2] = b[0]*idiag[2] + b[1]*idiag[7] + b[2]*idiag[12] + b[3]*idiag[17] + b[4]*idiag[22];
594       x[3] = b[0]*idiag[3] + b[1]*idiag[8] + b[2]*idiag[13] + b[3]*idiag[18] + b[4]*idiag[23];
595       x[4] = b[0]*idiag[4] + b[1]*idiag[9] + b[2]*idiag[14] + b[3]*idiag[19] + b[4]*idiag[24];
596       i2     = 5;
597       idiag += 25;
598       for (i=1; i<m; i++) {
599 	v     = aa + 25*ai[i];
600 	vi    = aj + ai[i];
601 	nz    = diag[i] - ai[i];
602 	s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3]; s5 = b[i2+4];
603 	while (nz--) {
604 	  idx  = 5*(*vi++);
605 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx];
606 	  s1  -= v[0]*x1 + v[5]*x2 + v[10]*x3 + v[15]*x4 + v[20]*x5;
607 	  s2  -= v[1]*x1 + v[6]*x2 + v[11]*x3 + v[16]*x4 + v[21]*x5;
608 	  s3  -= v[2]*x1 + v[7]*x2 + v[12]*x3 + v[17]*x4 + v[22]*x5;
609 	  s4  -= v[3]*x1 + v[8]*x2 + v[13]*x3 + v[18]*x4 + v[23]*x5;
610 	  s5  -= v[4]*x1 + v[9]*x2 + v[14]*x3 + v[19]*x4 + v[24]*x5;
611 	  v   += 25;
612 	}
613 	x[i2]   = idiag[0]*s1 + idiag[5]*s2 + idiag[10]*s3 + idiag[15]*s4 + idiag[20]*s5;
614 	x[i2+1] = idiag[1]*s1 + idiag[6]*s2 + idiag[11]*s3 + idiag[16]*s4 + idiag[21]*s5;
615 	x[i2+2] = idiag[2]*s1 + idiag[7]*s2 + idiag[12]*s3 + idiag[17]*s4 + idiag[22]*s5;
616 	x[i2+3] = idiag[3]*s1 + idiag[8]*s2 + idiag[13]*s3 + idiag[18]*s4 + idiag[23]*s5;
617 	x[i2+4] = idiag[4]*s1 + idiag[9]*s2 + idiag[14]*s3 + idiag[19]*s4 + idiag[24]*s5;
618         idiag   += 25;
619         i2      += 5;
620       }
621       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
622       ierr = PetscLogFlops(25.0*(a->nz));CHKERRQ(ierr);
623     }
624     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
625         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
626       i2    = 0;
627       mdiag = a->idiag+25*a->mbs;
628       for (i=0; i<m; i++) {
629         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4];
630         x[i2]   = mdiag[0]*x1 + mdiag[5]*x2 + mdiag[10]*x3 + mdiag[15]*x4 + mdiag[20]*x5;
631         x[i2+1] = mdiag[1]*x1 + mdiag[6]*x2 + mdiag[11]*x3 + mdiag[16]*x4 + mdiag[21]*x5;
632         x[i2+2] = mdiag[2]*x1 + mdiag[7]*x2 + mdiag[12]*x3 + mdiag[17]*x4 + mdiag[22]*x5;
633         x[i2+3] = mdiag[3]*x1 + mdiag[8]*x2 + mdiag[13]*x3 + mdiag[18]*x4 + mdiag[23]*x5;
634         x[i2+4] = mdiag[4]*x1 + mdiag[9]*x2 + mdiag[14]*x3 + mdiag[19]*x4 + mdiag[24]*x5;
635         mdiag  += 25;
636         i2     += 5;
637       }
638       ierr = PetscLogFlops(45.0*m);CHKERRQ(ierr);
639     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
640       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
641     }
642     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
643       idiag   = a->idiag+25*a->mbs - 25;
644       i2      = 5*m - 5;
645       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4];
646       x[i2]   = idiag[0]*x1 + idiag[5]*x2 + idiag[10]*x3 + idiag[15]*x4 + idiag[20]*x5;
647       x[i2+1] = idiag[1]*x1 + idiag[6]*x2 + idiag[11]*x3 + idiag[16]*x4 + idiag[21]*x5;
648       x[i2+2] = idiag[2]*x1 + idiag[7]*x2 + idiag[12]*x3 + idiag[17]*x4 + idiag[22]*x5;
649       x[i2+3] = idiag[3]*x1 + idiag[8]*x2 + idiag[13]*x3 + idiag[18]*x4 + idiag[23]*x5;
650       x[i2+4] = idiag[4]*x1 + idiag[9]*x2 + idiag[14]*x3 + idiag[19]*x4 + idiag[24]*x5;
651       idiag -= 25;
652       i2    -= 5;
653       for (i=m-2; i>=0; i--) {
654 	v     = aa + 25*(diag[i]+1);
655 	vi    = aj + diag[i] + 1;
656 	nz    = ai[i+1] - diag[i] - 1;
657 	s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3]; s5 = x[i2+4];
658 	while (nz--) {
659 	  idx  = 5*(*vi++);
660 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx];
661 	  s1  -= v[0]*x1 + v[5]*x2 + v[10]*x3 + v[15]*x4 + v[20]*x5;
662 	  s2  -= v[1]*x1 + v[6]*x2 + v[11]*x3 + v[16]*x4 + v[21]*x5;
663 	  s3  -= v[2]*x1 + v[7]*x2 + v[12]*x3 + v[17]*x4 + v[22]*x5;
664 	  s4  -= v[3]*x1 + v[8]*x2 + v[13]*x3 + v[18]*x4 + v[23]*x5;
665 	  s5  -= v[4]*x1 + v[9]*x2 + v[14]*x3 + v[19]*x4 + v[24]*x5;
666 	  v   += 25;
667 	}
668 	x[i2]   = idiag[0]*s1 + idiag[5]*s2 + idiag[10]*s3 + idiag[15]*s4 + idiag[20]*s5;
669 	x[i2+1] = idiag[1]*s1 + idiag[6]*s2 + idiag[11]*s3 + idiag[16]*s4 + idiag[21]*s5;
670 	x[i2+2] = idiag[2]*s1 + idiag[7]*s2 + idiag[12]*s3 + idiag[17]*s4 + idiag[22]*s5;
671 	x[i2+3] = idiag[3]*s1 + idiag[8]*s2 + idiag[13]*s3 + idiag[18]*s4 + idiag[23]*s5;
672 	x[i2+4] = idiag[4]*s1 + idiag[9]*s2 + idiag[14]*s3 + idiag[19]*s4 + idiag[24]*s5;
673         idiag   -= 25;
674         i2      -= 5;
675       }
676       ierr = PetscLogFlops(25.0*(a->nz));CHKERRQ(ierr);
677     }
678   } else {
679     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
680   }
681   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
682   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
683   PetscFunctionReturn(0);
684 }
685 
686 #undef __FUNCT__
687 #define __FUNCT__ "MatSOR_SeqBAIJ_6"
688 PetscErrorCode MatSOR_SeqBAIJ_6(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
689 {
690   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
691   PetscScalar        *x,x1,x2,x3,x4,x5,x6,s1,s2,s3,s4,s5,s6;
692   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
693   const PetscScalar  *b;
694   PetscErrorCode     ierr;
695   PetscInt           m = a->mbs,i,i2,nz,idx;
696   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
697 
698   PetscFunctionBegin;
699   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
700   its = its*lits;
701   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
702   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
703   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
704   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
705   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
706 
707   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
708 
709   diag  = a->diag;
710   idiag = a->idiag;
711   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
712   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
713 
714   if (flag & SOR_ZERO_INITIAL_GUESS) {
715     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
716       x[0] = b[0]*idiag[0] + b[1]*idiag[6]  + b[2]*idiag[12] + b[3]*idiag[18] + b[4]*idiag[24] + b[5]*idiag[30];
717       x[1] = b[0]*idiag[1] + b[1]*idiag[7]  + b[2]*idiag[13] + b[3]*idiag[19] + b[4]*idiag[25] + b[5]*idiag[31];
718       x[2] = b[0]*idiag[2] + b[1]*idiag[8]  + b[2]*idiag[14] + b[3]*idiag[20] + b[4]*idiag[26] + b[5]*idiag[32];
719       x[3] = b[0]*idiag[3] + b[1]*idiag[9]  + b[2]*idiag[15] + b[3]*idiag[21] + b[4]*idiag[27] + b[5]*idiag[33];
720       x[4] = b[0]*idiag[4] + b[1]*idiag[10] + b[2]*idiag[16] + b[3]*idiag[22] + b[4]*idiag[28] + b[5]*idiag[34];
721       x[5] = b[0]*idiag[5] + b[1]*idiag[11] + b[2]*idiag[17] + b[3]*idiag[23] + b[4]*idiag[29] + b[5]*idiag[35];
722       i2     = 6;
723       idiag += 36;
724       for (i=1; i<m; i++) {
725         v     = aa + 36*ai[i];
726         vi    = aj + ai[i];
727         nz    = diag[i] - ai[i];
728         s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3]; s5 = b[i2+4]; s6 = b[i2+5];
729         while (nz--) {
730           idx  = 6*(*vi++);
731           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx];
732           s1  -= v[0]*x1 + v[6]*x2  + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6;
733           s2  -= v[1]*x1 + v[7]*x2  + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6;
734           s3  -= v[2]*x1 + v[8]*x2  + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6;
735           s4  -= v[3]*x1 + v[9]*x2  + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6;
736           s5  -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6;
737           s6  -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6;
738           v   += 36;
739         }
740         x[i2]   = idiag[0]*s1 + idiag[6]*s2  + idiag[12]*s3 + idiag[18]*s4 + idiag[24]*s5 + idiag[30]*s6;
741         x[i2+1] = idiag[1]*s1 + idiag[7]*s2  + idiag[13]*s3 + idiag[19]*s4 + idiag[25]*s5 + idiag[31]*s6;
742         x[i2+2] = idiag[2]*s1 + idiag[8]*s2  + idiag[14]*s3 + idiag[20]*s4 + idiag[26]*s5 + idiag[32]*s6;
743         x[i2+3] = idiag[3]*s1 + idiag[9]*s2  + idiag[15]*s3 + idiag[21]*s4 + idiag[27]*s5 + idiag[33]*s6;
744         x[i2+4] = idiag[4]*s1 + idiag[10]*s2 + idiag[16]*s3 + idiag[22]*s4 + idiag[28]*s5 + idiag[34]*s6;
745         x[i2+5] = idiag[5]*s1 + idiag[11]*s2 + idiag[17]*s3 + idiag[23]*s4 + idiag[29]*s5 + idiag[35]*s6;
746         idiag   += 36;
747         i2      += 6;
748       }
749       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
750       ierr = PetscLogFlops(36.0*(a->nz));CHKERRQ(ierr);
751     }
752     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
753         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
754       i2    = 0;
755       mdiag = a->idiag+36*a->mbs;
756       for (i=0; i<m; i++) {
757         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5];
758         x[i2]   = mdiag[0]*x1 + mdiag[6]*x2  + mdiag[12]*x3 + mdiag[18]*x4 + mdiag[24]*x5 + mdiag[30]*x6;
759         x[i2+1] = mdiag[1]*x1 + mdiag[7]*x2  + mdiag[13]*x3 + mdiag[19]*x4 + mdiag[25]*x5 + mdiag[31]*x6;
760         x[i2+2] = mdiag[2]*x1 + mdiag[8]*x2  + mdiag[14]*x3 + mdiag[20]*x4 + mdiag[26]*x5 + mdiag[32]*x6;
761         x[i2+3] = mdiag[3]*x1 + mdiag[9]*x2  + mdiag[15]*x3 + mdiag[21]*x4 + mdiag[27]*x5 + mdiag[33]*x6;
762         x[i2+4] = mdiag[4]*x1 + mdiag[10]*x2 + mdiag[16]*x3 + mdiag[22]*x4 + mdiag[28]*x5 + mdiag[34]*x6;
763         x[i2+5] = mdiag[5]*x1 + mdiag[11]*x2 + mdiag[17]*x3 + mdiag[23]*x4 + mdiag[29]*x5 + mdiag[35]*x6;
764         mdiag  += 36;
765         i2     += 6;
766       }
767       ierr = PetscLogFlops(60.0*m);CHKERRQ(ierr);
768     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
769       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
770     }
771     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
772       idiag   = a->idiag+36*a->mbs - 36;
773       i2      = 6*m - 6;
774       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5];
775       x[i2]   = idiag[0]*x1 + idiag[6]*x2  + idiag[12]*x3 + idiag[18]*x4 + idiag[24]*x5 + idiag[30]*x6;
776       x[i2+1] = idiag[1]*x1 + idiag[7]*x2  + idiag[13]*x3 + idiag[19]*x4 + idiag[25]*x5 + idiag[31]*x6;
777       x[i2+2] = idiag[2]*x1 + idiag[8]*x2  + idiag[14]*x3 + idiag[20]*x4 + idiag[26]*x5 + idiag[32]*x6;
778       x[i2+3] = idiag[3]*x1 + idiag[9]*x2  + idiag[15]*x3 + idiag[21]*x4 + idiag[27]*x5 + idiag[33]*x6;
779       x[i2+4] = idiag[4]*x1 + idiag[10]*x2 + idiag[16]*x3 + idiag[22]*x4 + idiag[28]*x5 + idiag[34]*x6;
780       x[i2+5] = idiag[5]*x1 + idiag[11]*x2 + idiag[17]*x3 + idiag[23]*x4 + idiag[29]*x5 + idiag[35]*x6;
781       idiag -= 36;
782       i2    -= 6;
783       for (i=m-2; i>=0; i--) {
784         v     = aa + 36*(diag[i]+1);
785         vi    = aj + diag[i] + 1;
786         nz    = ai[i+1] - diag[i] - 1;
787         s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3]; s5 = x[i2+4]; s6 = x[i2+5];
788         while (nz--) {
789           idx  = 6*(*vi++);
790           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx];
791           s1  -= v[0]*x1 + v[6]*x2  + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6;
792           s2  -= v[1]*x1 + v[7]*x2  + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6;
793           s3  -= v[2]*x1 + v[8]*x2  + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6;
794           s4  -= v[3]*x1 + v[9]*x2  + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6;
795           s5  -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6;
796           s6  -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6;
797           v   += 36;
798         }
799         x[i2]   = idiag[0]*s1 + idiag[6]*s2  + idiag[12]*s3 + idiag[18]*s4 + idiag[24]*s5 + idiag[30]*s6;
800         x[i2+1] = idiag[1]*s1 + idiag[7]*s2  + idiag[13]*s3 + idiag[19]*s4 + idiag[25]*s5 + idiag[31]*s6;
801         x[i2+2] = idiag[2]*s1 + idiag[8]*s2  + idiag[14]*s3 + idiag[20]*s4 + idiag[26]*s5 + idiag[32]*s6;
802         x[i2+3] = idiag[3]*s1 + idiag[9]*s2  + idiag[15]*s3 + idiag[21]*s4 + idiag[27]*s5 + idiag[33]*s6;
803         x[i2+4] = idiag[4]*s1 + idiag[10]*s2 + idiag[16]*s3 + idiag[22]*s4 + idiag[28]*s5 + idiag[34]*s6;
804         x[i2+5] = idiag[5]*s1 + idiag[11]*s2 + idiag[17]*s3 + idiag[23]*s4 + idiag[29]*s5 + idiag[35]*s6;
805         idiag   -= 36;
806         i2      -= 6;
807       }
808       ierr = PetscLogFlops(36.0*(a->nz));CHKERRQ(ierr);
809     }
810   } else {
811     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
812   }
813   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
814   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
815   PetscFunctionReturn(0);
816 }
817 
818 #undef __FUNCT__
819 #define __FUNCT__ "MatSOR_SeqBAIJ_7"
820 PetscErrorCode MatSOR_SeqBAIJ_7(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
821 {
822   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
823   PetscScalar        *x,x1,x2,x3,x4,x5,x6,x7,s1,s2,s3,s4,s5,s6,s7;
824   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
825   const PetscScalar  *b;
826   PetscErrorCode     ierr;
827   PetscInt           m = a->mbs,i,i2,nz,idx;
828   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
829 
830   PetscFunctionBegin;
831   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
832   its = its*lits;
833   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
834   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
835   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
836   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
837   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
838 
839   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
840 
841   diag  = a->diag;
842   idiag = a->idiag;
843   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
844   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
845 
846   if (flag & SOR_ZERO_INITIAL_GUESS) {
847     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
848       x[0] = b[0]*idiag[0] + b[1]*idiag[7]  + b[2]*idiag[14] + b[3]*idiag[21] + b[4]*idiag[28] + b[5]*idiag[35] + b[6]*idiag[42];
849       x[1] = b[0]*idiag[1] + b[1]*idiag[8]  + b[2]*idiag[15] + b[3]*idiag[22] + b[4]*idiag[29] + b[5]*idiag[36] + b[6]*idiag[43];
850       x[2] = b[0]*idiag[2] + b[1]*idiag[9]  + b[2]*idiag[16] + b[3]*idiag[23] + b[4]*idiag[30] + b[5]*idiag[37] + b[6]*idiag[44];
851       x[3] = b[0]*idiag[3] + b[1]*idiag[10] + b[2]*idiag[17] + b[3]*idiag[24] + b[4]*idiag[31] + b[5]*idiag[38] + b[6]*idiag[45];
852       x[4] = b[0]*idiag[4] + b[1]*idiag[11] + b[2]*idiag[18] + b[3]*idiag[25] + b[4]*idiag[32] + b[5]*idiag[39] + b[6]*idiag[46];
853       x[5] = b[0]*idiag[5] + b[1]*idiag[12] + b[2]*idiag[19] + b[3]*idiag[26] + b[4]*idiag[33] + b[5]*idiag[40] + b[6]*idiag[47];
854       x[6] = b[0]*idiag[6] + b[1]*idiag[13] + b[2]*idiag[20] + b[3]*idiag[27] + b[4]*idiag[34] + b[5]*idiag[41] + b[6]*idiag[48];
855       i2     = 7;
856       idiag += 49;
857       for (i=1; i<m; i++) {
858         v     = aa + 49*ai[i];
859         vi    = aj + ai[i];
860         nz    = diag[i] - ai[i];
861         s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3]; s5 = b[i2+4]; s6 = b[i2+5]; s7 = b[i2+6];
862         while (nz--) {
863           idx  = 7*(*vi++);
864           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx]; x7 = x[6+idx];
865           s1  -= v[0]*x1 + v[7]*x2  + v[14]*x3 + v[21]*x4 + v[28]*x5 + v[35]*x6 + v[42]*x7;
866           s2  -= v[1]*x1 + v[8]*x2  + v[15]*x3 + v[22]*x4 + v[29]*x5 + v[36]*x6 + v[43]*x7;
867           s3  -= v[2]*x1 + v[9]*x2  + v[16]*x3 + v[23]*x4 + v[30]*x5 + v[37]*x6 + v[44]*x7;
868           s4  -= v[3]*x1 + v[10]*x2 + v[17]*x3 + v[24]*x4 + v[31]*x5 + v[38]*x6 + v[45]*x7;
869           s5  -= v[4]*x1 + v[11]*x2 + v[18]*x3 + v[25]*x4 + v[32]*x5 + v[39]*x6 + v[46]*x7;
870           s6  -= v[5]*x1 + v[12]*x2 + v[19]*x3 + v[26]*x4 + v[33]*x5 + v[40]*x6 + v[47]*x7;
871           s7  -= v[6]*x1 + v[13]*x2 + v[20]*x3 + v[27]*x4 + v[34]*x5 + v[41]*x6 + v[48]*x7;
872           v   += 49;
873         }
874         x[i2]   = idiag[0]*s1 + idiag[7]*s2  + idiag[14]*s3 + idiag[21]*s4 + idiag[28]*s5 + idiag[35]*s6 + idiag[42]*s7;
875         x[i2+1] = idiag[1]*s1 + idiag[8]*s2  + idiag[15]*s3 + idiag[22]*s4 + idiag[29]*s5 + idiag[36]*s6 + idiag[43]*s7;
876         x[i2+2] = idiag[2]*s1 + idiag[9]*s2  + idiag[16]*s3 + idiag[23]*s4 + idiag[30]*s5 + idiag[37]*s6 + idiag[44]*s7;
877         x[i2+3] = idiag[3]*s1 + idiag[10]*s2 + idiag[17]*s3 + idiag[24]*s4 + idiag[31]*s5 + idiag[38]*s6 + idiag[45]*s7;
878         x[i2+4] = idiag[4]*s1 + idiag[11]*s2 + idiag[18]*s3 + idiag[25]*s4 + idiag[32]*s5 + idiag[39]*s6 + idiag[46]*s7;
879         x[i2+5] = idiag[5]*s1 + idiag[12]*s2 + idiag[19]*s3 + idiag[26]*s4 + idiag[33]*s5 + idiag[40]*s6 + idiag[47]*s7;
880         x[i2+6] = idiag[6]*s1 + idiag[13]*s2 + idiag[20]*s3 + idiag[27]*s4 + idiag[34]*s5 + idiag[41]*s6 + idiag[48]*s7;
881         idiag   += 49;
882         i2      += 7;
883       }
884       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
885       ierr = PetscLogFlops(49.0*(a->nz));CHKERRQ(ierr);
886     }
887     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
888         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
889       i2    = 0;
890       mdiag = a->idiag+49*a->mbs;
891       for (i=0; i<m; i++) {
892         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5]; x7 = x[i2+6];
893         x[i2]   = mdiag[0]*x1 + mdiag[7]*x2  + mdiag[14]*x3 + mdiag[21]*x4 + mdiag[28]*x5 + mdiag[35]*x6 + mdiag[35]*x7;
894         x[i2+1] = mdiag[1]*x1 + mdiag[8]*x2  + mdiag[15]*x3 + mdiag[22]*x4 + mdiag[29]*x5 + mdiag[36]*x6 + mdiag[36]*x7;
895         x[i2+2] = mdiag[2]*x1 + mdiag[9]*x2  + mdiag[16]*x3 + mdiag[23]*x4 + mdiag[30]*x5 + mdiag[37]*x6 + mdiag[37]*x7;
896         x[i2+3] = mdiag[3]*x1 + mdiag[10]*x2 + mdiag[17]*x3 + mdiag[24]*x4 + mdiag[31]*x5 + mdiag[38]*x6 + mdiag[38]*x7;
897         x[i2+4] = mdiag[4]*x1 + mdiag[11]*x2 + mdiag[18]*x3 + mdiag[25]*x4 + mdiag[32]*x5 + mdiag[39]*x6 + mdiag[39]*x7;
898         x[i2+5] = mdiag[5]*x1 + mdiag[12]*x2 + mdiag[19]*x3 + mdiag[26]*x4 + mdiag[33]*x5 + mdiag[40]*x6 + mdiag[40]*x7;
899         x[i2+6] = mdiag[6]*x1 + mdiag[13]*x2 + mdiag[20]*x3 + mdiag[27]*x4 + mdiag[34]*x5 + mdiag[41]*x6 + mdiag[41]*x7;
900         mdiag  += 36;
901         i2     += 6;
902       }
903       ierr = PetscLogFlops(93.0*m);CHKERRQ(ierr);
904     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
905       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
906     }
907     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
908       idiag   = a->idiag+49*a->mbs - 49;
909       i2      = 7*m - 7;
910       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5]; x7 = x[i2+6];
911       x[i2]   = idiag[0]*x1 + idiag[7]*x2  + idiag[14]*x3 + idiag[21]*x4 + idiag[28]*x5 + idiag[35]*x6 + idiag[42]*x7;
912       x[i2+1] = idiag[1]*x1 + idiag[8]*x2  + idiag[15]*x3 + idiag[22]*x4 + idiag[29]*x5 + idiag[36]*x6 + idiag[43]*x7;
913       x[i2+2] = idiag[2]*x1 + idiag[9]*x2  + idiag[16]*x3 + idiag[23]*x4 + idiag[30]*x5 + idiag[37]*x6 + idiag[44]*x7;
914       x[i2+3] = idiag[3]*x1 + idiag[10]*x2 + idiag[17]*x3 + idiag[24]*x4 + idiag[31]*x5 + idiag[38]*x6 + idiag[45]*x7;
915       x[i2+4] = idiag[4]*x1 + idiag[11]*x2 + idiag[18]*x3 + idiag[25]*x4 + idiag[32]*x5 + idiag[39]*x6 + idiag[46]*x7;
916       x[i2+5] = idiag[5]*x1 + idiag[12]*x2 + idiag[19]*x3 + idiag[26]*x4 + idiag[33]*x5 + idiag[40]*x6 + idiag[47]*x7;
917       x[i2+6] = idiag[6]*x1 + idiag[13]*x2 + idiag[20]*x3 + idiag[27]*x4 + idiag[34]*x5 + idiag[41]*x6 + idiag[48]*x7;
918       idiag -= 49;
919       i2    -= 7;
920       for (i=m-2; i>=0; i--) {
921         v     = aa + 49*(diag[i]+1);
922         vi    = aj + diag[i] + 1;
923         nz    = ai[i+1] - diag[i] - 1;
924         s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3]; s5 = x[i2+4]; s6 = x[i2+5]; s7 = x[i2+6];
925         while (nz--) {
926           idx  = 7*(*vi++);
927           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx]; x7 = x[6+idx];
928           s1  -= v[0]*x1 + v[7]*x2  + v[14]*x3 + v[21]*x4 + v[28]*x5 + v[35]*x6 + v[42]*x7;
929           s2  -= v[1]*x1 + v[8]*x2  + v[15]*x3 + v[22]*x4 + v[29]*x5 + v[36]*x6 + v[43]*x7;
930           s3  -= v[2]*x1 + v[9]*x2  + v[16]*x3 + v[23]*x4 + v[30]*x5 + v[37]*x6 + v[44]*x7;
931           s4  -= v[3]*x1 + v[10]*x2 + v[17]*x3 + v[24]*x4 + v[31]*x5 + v[38]*x6 + v[45]*x7;
932           s5  -= v[4]*x1 + v[11]*x2 + v[18]*x3 + v[25]*x4 + v[32]*x5 + v[39]*x6 + v[46]*x7;
933           s6  -= v[5]*x1 + v[12]*x2 + v[19]*x3 + v[26]*x4 + v[33]*x5 + v[40]*x6 + v[47]*x7;
934           s7  -= v[6]*x1 + v[13]*x2 + v[20]*x3 + v[27]*x4 + v[34]*x5 + v[41]*x6 + v[48]*x7;
935           v   += 49;
936         }
937         x[i2]   = idiag[0]*s1 + idiag[7]*s2  + idiag[14]*s3 + idiag[21]*s4 + idiag[28]*s5 + idiag[35]*s6 + idiag[42]*s7;
938         x[i2+1] = idiag[1]*s1 + idiag[8]*s2  + idiag[15]*s3 + idiag[22]*s4 + idiag[29]*s5 + idiag[36]*s6 + idiag[43]*s7;
939         x[i2+2] = idiag[2]*s1 + idiag[9]*s2  + idiag[16]*s3 + idiag[23]*s4 + idiag[30]*s5 + idiag[37]*s6 + idiag[44]*s7;
940         x[i2+3] = idiag[3]*s1 + idiag[10]*s2 + idiag[17]*s3 + idiag[24]*s4 + idiag[31]*s5 + idiag[38]*s6 + idiag[45]*s7;
941         x[i2+4] = idiag[4]*s1 + idiag[11]*s2 + idiag[18]*s3 + idiag[25]*s4 + idiag[32]*s5 + idiag[39]*s6 + idiag[46]*s7;
942         x[i2+5] = idiag[5]*s1 + idiag[12]*s2 + idiag[19]*s3 + idiag[26]*s4 + idiag[33]*s5 + idiag[40]*s6 + idiag[47]*s7;
943         x[i2+6] = idiag[6]*s1 + idiag[13]*s2 + idiag[20]*s3 + idiag[27]*s4 + idiag[34]*s5 + idiag[41]*s6 + idiag[48]*s7;
944         idiag   -= 49;
945         i2      -= 7;
946       }
947       ierr = PetscLogFlops(49.0*(a->nz));CHKERRQ(ierr);
948     }
949   } else {
950     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
951   }
952   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
953   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
954   PetscFunctionReturn(0);
955 }
956 
957 /*
958     Special version for direct calls from Fortran (Used in PETSc-fun3d)
959 */
960 #if defined(PETSC_HAVE_FORTRAN_CAPS)
961 #define matsetvaluesblocked4_ MATSETVALUESBLOCKED4
962 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
963 #define matsetvaluesblocked4_ matsetvaluesblocked4
964 #endif
965 
966 EXTERN_C_BEGIN
967 #undef __FUNCT__
968 #define __FUNCT__ "matsetvaluesblocked4_"
969 void PETSCMAT_DLLEXPORT matsetvaluesblocked4_(Mat *AA,PetscInt *mm,const PetscInt im[],PetscInt *nn,const PetscInt in[],const PetscScalar v[])
970 {
971   Mat               A = *AA;
972   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
973   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,N,m = *mm,n = *nn;
974   PetscInt          *ai=a->i,*ailen=a->ilen;
975   PetscInt          *aj=a->j,stepval,lastcol = -1;
976   const PetscScalar *value = v;
977   MatScalar         *ap,*aa = a->a,*bap;
978 
979   PetscFunctionBegin;
980   if (A->rmap->bs != 4) SETERRABORT(((PetscObject)A)->comm,PETSC_ERR_ARG_WRONG,"Can only be called with a block size of 4");
981   stepval = (n-1)*4;
982   for (k=0; k<m; k++) { /* loop over added rows */
983     row  = im[k];
984     rp   = aj + ai[row];
985     ap   = aa + 16*ai[row];
986     nrow = ailen[row];
987     low  = 0;
988     high = nrow;
989     for (l=0; l<n; l++) { /* loop over added columns */
990       col = in[l];
991       if (col <= lastcol) low = 0; else high = nrow;
992       lastcol = col;
993       value = v + k*(stepval+4 + l)*4;
994       while (high-low > 7) {
995         t = (low+high)/2;
996         if (rp[t] > col) high = t;
997         else             low  = t;
998       }
999       for (i=low; i<high; i++) {
1000         if (rp[i] > col) break;
1001         if (rp[i] == col) {
1002           bap  = ap +  16*i;
1003           for (ii=0; ii<4; ii++,value+=stepval) {
1004             for (jj=ii; jj<16; jj+=4) {
1005               bap[jj] += *value++;
1006             }
1007           }
1008           goto noinsert2;
1009         }
1010       }
1011       N = nrow++ - 1;
1012       high++; /* added new column index thus must search to one higher than before */
1013       /* shift up all the later entries in this row */
1014       for (ii=N; ii>=i; ii--) {
1015         rp[ii+1] = rp[ii];
1016         PetscMemcpy(ap+16*(ii+1),ap+16*(ii),16*sizeof(MatScalar));
1017       }
1018       if (N >= i) {
1019         PetscMemzero(ap+16*i,16*sizeof(MatScalar));
1020       }
1021       rp[i] = col;
1022       bap   = ap +  16*i;
1023       for (ii=0; ii<4; ii++,value+=stepval) {
1024         for (jj=ii; jj<16; jj+=4) {
1025           bap[jj] = *value++;
1026         }
1027       }
1028       noinsert2:;
1029       low = i;
1030     }
1031     ailen[row] = nrow;
1032   }
1033   PetscFunctionReturnVoid();
1034 }
1035 EXTERN_C_END
1036 
1037 #if defined(PETSC_HAVE_FORTRAN_CAPS)
1038 #define matsetvalues4_ MATSETVALUES4
1039 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
1040 #define matsetvalues4_ matsetvalues4
1041 #endif
1042 
1043 EXTERN_C_BEGIN
1044 #undef __FUNCT__
1045 #define __FUNCT__ "MatSetValues4_"
1046 void PETSCMAT_DLLEXPORT matsetvalues4_(Mat *AA,PetscInt *mm,PetscInt *im,PetscInt *nn,PetscInt *in,PetscScalar *v)
1047 {
1048   Mat         A = *AA;
1049   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
1050   PetscInt    *rp,k,low,high,t,ii,row,nrow,i,col,l,N,n = *nn,m = *mm;
1051   PetscInt    *ai=a->i,*ailen=a->ilen;
1052   PetscInt    *aj=a->j,brow,bcol;
1053   PetscInt    ridx,cidx,lastcol = -1;
1054   MatScalar   *ap,value,*aa=a->a,*bap;
1055 
1056   PetscFunctionBegin;
1057   for (k=0; k<m; k++) { /* loop over added rows */
1058     row  = im[k]; brow = row/4;
1059     rp   = aj + ai[brow];
1060     ap   = aa + 16*ai[brow];
1061     nrow = ailen[brow];
1062     low  = 0;
1063     high = nrow;
1064     for (l=0; l<n; l++) { /* loop over added columns */
1065       col = in[l]; bcol = col/4;
1066       ridx = row % 4; cidx = col % 4;
1067       value = v[l + k*n];
1068       if (col <= lastcol) low = 0; else high = nrow;
1069       lastcol = col;
1070       while (high-low > 7) {
1071         t = (low+high)/2;
1072         if (rp[t] > bcol) high = t;
1073         else              low  = t;
1074       }
1075       for (i=low; i<high; i++) {
1076         if (rp[i] > bcol) break;
1077         if (rp[i] == bcol) {
1078           bap  = ap +  16*i + 4*cidx + ridx;
1079           *bap += value;
1080           goto noinsert1;
1081         }
1082       }
1083       N = nrow++ - 1;
1084       high++; /* added new column thus must search to one higher than before */
1085       /* shift up all the later entries in this row */
1086       for (ii=N; ii>=i; ii--) {
1087         rp[ii+1] = rp[ii];
1088         PetscMemcpy(ap+16*(ii+1),ap+16*(ii),16*sizeof(MatScalar));
1089       }
1090       if (N>=i) {
1091         PetscMemzero(ap+16*i,16*sizeof(MatScalar));
1092       }
1093       rp[i]                    = bcol;
1094       ap[16*i + 4*cidx + ridx] = value;
1095       noinsert1:;
1096       low = i;
1097     }
1098     ailen[brow] = nrow;
1099   }
1100   PetscFunctionReturnVoid();
1101 }
1102 EXTERN_C_END
1103 
1104 /*
1105      Checks for missing diagonals
1106 */
1107 #undef __FUNCT__
1108 #define __FUNCT__ "MatMissingDiagonal_SeqBAIJ"
1109 PetscErrorCode MatMissingDiagonal_SeqBAIJ(Mat A,PetscTruth *missing,PetscInt *d)
1110 {
1111   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1112   PetscErrorCode ierr;
1113   PetscInt       *diag,*jj = a->j,i;
1114 
1115   PetscFunctionBegin;
1116   ierr = MatMarkDiagonal_SeqBAIJ(A);CHKERRQ(ierr);
1117   *missing = PETSC_FALSE;
1118   if (A->rmap->n > 0 && !jj) {
1119     *missing  = PETSC_TRUE;
1120     if (d) *d = 0;
1121     PetscInfo(A,"Matrix has no entries therefor is missing diagonal");
1122   } else {
1123     diag     = a->diag;
1124     for (i=0; i<a->mbs; i++) {
1125       if (jj[diag[i]] != i) {
1126         *missing  = PETSC_TRUE;
1127         if (d) *d = i;
1128         PetscInfo1(A,"Matrix is missing block diagonal number %D",i);
1129       }
1130     }
1131   }
1132   PetscFunctionReturn(0);
1133 }
1134 
1135 #undef __FUNCT__
1136 #define __FUNCT__ "MatMarkDiagonal_SeqBAIJ"
1137 PetscErrorCode MatMarkDiagonal_SeqBAIJ(Mat A)
1138 {
1139   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1140   PetscErrorCode ierr;
1141   PetscInt       i,j,m = a->mbs;
1142 
1143   PetscFunctionBegin;
1144   if (!a->diag) {
1145     ierr = PetscMalloc(m*sizeof(PetscInt),&a->diag);CHKERRQ(ierr);
1146     ierr = PetscLogObjectMemory(A,m*sizeof(PetscInt));CHKERRQ(ierr);
1147     a->free_diag = PETSC_TRUE;
1148   }
1149   for (i=0; i<m; i++) {
1150     a->diag[i] = a->i[i+1];
1151     for (j=a->i[i]; j<a->i[i+1]; j++) {
1152       if (a->j[j] == i) {
1153         a->diag[i] = j;
1154         break;
1155       }
1156     }
1157   }
1158   PetscFunctionReturn(0);
1159 }
1160 
1161 
1162 EXTERN PetscErrorCode MatToSymmetricIJ_SeqAIJ(PetscInt,PetscInt*,PetscInt*,PetscInt,PetscInt,PetscInt**,PetscInt**);
1163 
1164 #undef __FUNCT__
1165 #define __FUNCT__ "MatGetRowIJ_SeqBAIJ"
1166 static PetscErrorCode MatGetRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth blockcompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
1167 {
1168   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1169   PetscErrorCode ierr;
1170   PetscInt       i,j,n = a->mbs,nz = a->i[n],bs = A->rmap->bs,nbs = 1,k,l,cnt;
1171   PetscInt       *tia, *tja;
1172 
1173   PetscFunctionBegin;
1174   *nn = n;
1175   if (!ia) PetscFunctionReturn(0);
1176   if (symmetric) {
1177     ierr = MatToSymmetricIJ_SeqAIJ(n,a->i,a->j,0,0,&tia,&tja);CHKERRQ(ierr);
1178   } else {
1179     tia = a->i; tja = a->j;
1180   }
1181 
1182   if (!blockcompressed && bs > 1) {
1183     (*nn) *= bs;
1184     nbs    = bs;
1185     /* malloc & create the natural set of indices */
1186     ierr = PetscMalloc((n+1)*bs*sizeof(PetscInt),ia);CHKERRQ(ierr);
1187     if (n) {
1188       (*ia)[0] = 0;
1189       for (j=1; j<bs; j++) {
1190         (*ia)[j] = (tia[1]-tia[0])*bs+(*ia)[j-1];
1191       }
1192     }
1193 
1194     for (i=1; i<n; i++) {
1195       (*ia)[i*bs] = (tia[i]-tia[i-1])*bs + (*ia)[i*bs-1];
1196       for (j=1; j<bs; j++) {
1197         (*ia)[i*bs+j] = (tia[i+1]-tia[i])*bs + (*ia)[i*bs+j-1];
1198       }
1199     }
1200     if (n) {
1201       (*ia)[n*bs] = (tia[n]-tia[n-1])*bs + (*ia)[n*bs-1];
1202     }
1203 
1204     if (ja) {
1205       ierr = PetscMalloc(nz*bs*bs*sizeof(PetscInt),ja);CHKERRQ(ierr);
1206       cnt = 0;
1207       for (i=0; i<n; i++) {
1208         for (j=0; j<bs; j++) {
1209           for (k=tia[i]; k<tia[i+1]; k++) {
1210             for (l=0; l<bs; l++) {
1211               (*ja)[cnt++] = bs*tja[k] + l;
1212 	    }
1213           }
1214         }
1215       }
1216     }
1217 
1218     n     *= bs;
1219     nz *= bs*bs;
1220     if (symmetric) { /* deallocate memory allocated in MatToSymmetricIJ_SeqAIJ() */
1221       ierr = PetscFree(tia);CHKERRQ(ierr);
1222       ierr = PetscFree(tja);CHKERRQ(ierr);
1223     }
1224   } else if (oshift == 1) {
1225     if (symmetric) {
1226       PetscInt nz = tia[A->rmap->n/bs];
1227       /*  add 1 to i and j indices */
1228       for (i=0; i<A->rmap->n/bs+1; i++) tia[i] = tia[i] + 1;
1229       *ia = tia;
1230       if (ja) {
1231 	for (i=0; i<nz; i++) tja[i] = tja[i] + 1;
1232         *ja = tja;
1233       }
1234     } else {
1235       PetscInt nz = a->i[A->rmap->n/bs];
1236       /* malloc space and  add 1 to i and j indices */
1237       ierr = PetscMalloc((A->rmap->n/bs+1)*sizeof(PetscInt),ia);CHKERRQ(ierr);
1238       for (i=0; i<A->rmap->n/bs+1; i++) (*ia)[i] = a->i[i] + 1;
1239       if (ja) {
1240 	ierr = PetscMalloc(nz*sizeof(PetscInt),ja);CHKERRQ(ierr);
1241 	for (i=0; i<nz; i++) (*ja)[i] = a->j[i] + 1;
1242       }
1243     }
1244   } else {
1245     *ia = tia;
1246     if (ja) *ja = tja;
1247   }
1248 
1249   PetscFunctionReturn(0);
1250 }
1251 
1252 #undef __FUNCT__
1253 #define __FUNCT__ "MatRestoreRowIJ_SeqBAIJ"
1254 static PetscErrorCode MatRestoreRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth blockcompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
1255 {
1256   PetscErrorCode ierr;
1257 
1258   PetscFunctionBegin;
1259   if (!ia) PetscFunctionReturn(0);
1260   if ((!blockcompressed && A->rmap->bs > 1) || (symmetric || oshift == 1)) {
1261     ierr = PetscFree(*ia);CHKERRQ(ierr);
1262     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
1263   }
1264   PetscFunctionReturn(0);
1265 }
1266 
1267 #undef __FUNCT__
1268 #define __FUNCT__ "MatDestroy_SeqBAIJ"
1269 PetscErrorCode MatDestroy_SeqBAIJ(Mat A)
1270 {
1271   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1272   PetscErrorCode ierr;
1273 
1274   PetscFunctionBegin;
1275 #if defined(PETSC_USE_LOG)
1276   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->N,A->cmap->n,a->nz);
1277 #endif
1278   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1279   if (a->row) {
1280     ierr = ISDestroy(a->row);CHKERRQ(ierr);
1281   }
1282   if (a->col) {
1283     ierr = ISDestroy(a->col);CHKERRQ(ierr);
1284   }
1285   if (a->free_diag) {ierr = PetscFree(a->diag);CHKERRQ(ierr);}
1286   ierr = PetscFree(a->idiag);CHKERRQ(ierr);
1287   if (a->free_imax_ilen) {ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);}
1288   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1289   ierr = PetscFree(a->mult_work);CHKERRQ(ierr);
1290   if (a->icol) {ierr = ISDestroy(a->icol);CHKERRQ(ierr);}
1291   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1292   ierr = PetscFree(a->xtoy);CHKERRQ(ierr);
1293   if (a->compressedrow.use){ierr = PetscFree(a->compressedrow.i);}
1294 
1295   if (a->sbaijMat) {ierr = MatDestroy(a->sbaijMat);CHKERRQ(ierr);}
1296   if (a->parent) {ierr = MatDestroy(a->parent);CHKERRQ(ierr);}
1297   ierr = PetscFree(a);CHKERRQ(ierr);
1298 
1299   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1300   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJInvertBlockDiagonal_C","",PETSC_NULL);CHKERRQ(ierr);
1301   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
1302   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
1303   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetColumnIndices_C","",PETSC_NULL);CHKERRQ(ierr);
1304   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqaij_C","",PETSC_NULL);CHKERRQ(ierr);
1305   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqsbaij_C","",PETSC_NULL);CHKERRQ(ierr);
1306   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
1307   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocationCSR_C","",PETSC_NULL);CHKERRQ(ierr);
1308   PetscFunctionReturn(0);
1309 }
1310 
1311 #undef __FUNCT__
1312 #define __FUNCT__ "MatSetOption_SeqBAIJ"
1313 PetscErrorCode MatSetOption_SeqBAIJ(Mat A,MatOption op,PetscTruth flg)
1314 {
1315   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1316   PetscErrorCode ierr;
1317 
1318   PetscFunctionBegin;
1319   switch (op) {
1320   case MAT_ROW_ORIENTED:
1321     a->roworiented    = flg;
1322     break;
1323   case MAT_KEEP_NONZERO_PATTERN:
1324     a->keepnonzeropattern = flg;
1325     break;
1326   case MAT_NEW_NONZERO_LOCATIONS:
1327     a->nonew          = (flg ? 0 : 1);
1328     break;
1329   case MAT_NEW_NONZERO_LOCATION_ERR:
1330     a->nonew          = (flg ? -1 : 0);
1331     break;
1332   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1333     a->nonew          = (flg ? -2 : 0);
1334     break;
1335   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1336     a->nounused       = (flg ? -1 : 0);
1337     break;
1338   case MAT_NEW_DIAGONALS:
1339   case MAT_IGNORE_OFF_PROC_ENTRIES:
1340   case MAT_USE_HASH_TABLE:
1341     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1342     break;
1343   case MAT_SYMMETRIC:
1344   case MAT_STRUCTURALLY_SYMMETRIC:
1345   case MAT_HERMITIAN:
1346   case MAT_SYMMETRY_ETERNAL:
1347     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1348     break;
1349   default:
1350     SETERRQ1(PETSC_ERR_SUP,"unknown option %d",op);
1351   }
1352   PetscFunctionReturn(0);
1353 }
1354 
1355 #undef __FUNCT__
1356 #define __FUNCT__ "MatGetRow_SeqBAIJ"
1357 PetscErrorCode MatGetRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1358 {
1359   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1360   PetscErrorCode ierr;
1361   PetscInt       itmp,i,j,k,M,*ai,*aj,bs,bn,bp,*idx_i,bs2;
1362   MatScalar      *aa,*aa_i;
1363   PetscScalar    *v_i;
1364 
1365   PetscFunctionBegin;
1366   bs  = A->rmap->bs;
1367   ai  = a->i;
1368   aj  = a->j;
1369   aa  = a->a;
1370   bs2 = a->bs2;
1371 
1372   if (row < 0 || row >= A->rmap->N) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range", row);
1373 
1374   bn  = row/bs;   /* Block number */
1375   bp  = row % bs; /* Block Position */
1376   M   = ai[bn+1] - ai[bn];
1377   *nz = bs*M;
1378 
1379   if (v) {
1380     *v = 0;
1381     if (*nz) {
1382       ierr = PetscMalloc((*nz)*sizeof(PetscScalar),v);CHKERRQ(ierr);
1383       for (i=0; i<M; i++) { /* for each block in the block row */
1384         v_i  = *v + i*bs;
1385         aa_i = aa + bs2*(ai[bn] + i);
1386         for (j=bp,k=0; j<bs2; j+=bs,k++) {v_i[k] = aa_i[j];}
1387       }
1388     }
1389   }
1390 
1391   if (idx) {
1392     *idx = 0;
1393     if (*nz) {
1394       ierr = PetscMalloc((*nz)*sizeof(PetscInt),idx);CHKERRQ(ierr);
1395       for (i=0; i<M; i++) { /* for each block in the block row */
1396         idx_i = *idx + i*bs;
1397         itmp  = bs*aj[ai[bn] + i];
1398         for (j=0; j<bs; j++) {idx_i[j] = itmp++;}
1399       }
1400     }
1401   }
1402   PetscFunctionReturn(0);
1403 }
1404 
1405 #undef __FUNCT__
1406 #define __FUNCT__ "MatRestoreRow_SeqBAIJ"
1407 PetscErrorCode MatRestoreRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1408 {
1409   PetscErrorCode ierr;
1410 
1411   PetscFunctionBegin;
1412   if (idx) {ierr = PetscFree(*idx);CHKERRQ(ierr);}
1413   if (v)   {ierr = PetscFree(*v);CHKERRQ(ierr);}
1414   PetscFunctionReturn(0);
1415 }
1416 
1417 #undef __FUNCT__
1418 #define __FUNCT__ "MatTranspose_SeqBAIJ"
1419 PetscErrorCode MatTranspose_SeqBAIJ(Mat A,MatReuse reuse,Mat *B)
1420 {
1421   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ *)A->data;
1422   Mat            C;
1423   PetscErrorCode ierr;
1424   PetscInt       i,j,k,*aj=a->j,*ai=a->i,bs=A->rmap->bs,mbs=a->mbs,nbs=a->nbs,len,*col;
1425   PetscInt       *rows,*cols,bs2=a->bs2;
1426   MatScalar      *array;
1427 
1428   PetscFunctionBegin;
1429   if (reuse == MAT_REUSE_MATRIX && A == *B && mbs != nbs) SETERRQ(PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
1430   if (reuse == MAT_INITIAL_MATRIX || A == *B) {
1431     ierr = PetscMalloc((1+nbs)*sizeof(PetscInt),&col);CHKERRQ(ierr);
1432     ierr = PetscMemzero(col,(1+nbs)*sizeof(PetscInt));CHKERRQ(ierr);
1433 
1434     for (i=0; i<ai[mbs]; i++) col[aj[i]] += 1;
1435     ierr = MatCreate(((PetscObject)A)->comm,&C);CHKERRQ(ierr);
1436     ierr = MatSetSizes(C,A->cmap->n,A->rmap->N,A->cmap->n,A->rmap->N);CHKERRQ(ierr);
1437     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
1438     ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(C,bs,PETSC_NULL,col);CHKERRQ(ierr);
1439     ierr = PetscFree(col);CHKERRQ(ierr);
1440   } else {
1441     C = *B;
1442   }
1443 
1444   array = a->a;
1445   ierr = PetscMalloc(2*bs*sizeof(PetscInt),&rows);CHKERRQ(ierr);
1446   cols = rows + bs;
1447   for (i=0; i<mbs; i++) {
1448     cols[0] = i*bs;
1449     for (k=1; k<bs; k++) cols[k] = cols[k-1] + 1;
1450     len = ai[i+1] - ai[i];
1451     for (j=0; j<len; j++) {
1452       rows[0] = (*aj++)*bs;
1453       for (k=1; k<bs; k++) rows[k] = rows[k-1] + 1;
1454       ierr = MatSetValues(C,bs,rows,bs,cols,array,INSERT_VALUES);CHKERRQ(ierr);
1455       array += bs2;
1456     }
1457   }
1458   ierr = PetscFree(rows);CHKERRQ(ierr);
1459 
1460   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1461   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1462 
1463   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
1464     *B = C;
1465   } else {
1466     ierr = MatHeaderCopy(A,C);CHKERRQ(ierr);
1467   }
1468   PetscFunctionReturn(0);
1469 }
1470 
1471 #undef __FUNCT__
1472 #define __FUNCT__ "MatView_SeqBAIJ_Binary"
1473 static PetscErrorCode MatView_SeqBAIJ_Binary(Mat A,PetscViewer viewer)
1474 {
1475   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1476   PetscErrorCode ierr;
1477   PetscInt       i,*col_lens,bs = A->rmap->bs,count,*jj,j,k,l,bs2=a->bs2;
1478   int            fd;
1479   PetscScalar    *aa;
1480   FILE           *file;
1481 
1482   PetscFunctionBegin;
1483   ierr        = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
1484   ierr        = PetscMalloc((4+A->rmap->N)*sizeof(PetscInt),&col_lens);CHKERRQ(ierr);
1485   col_lens[0] = MAT_FILE_COOKIE;
1486 
1487   col_lens[1] = A->rmap->N;
1488   col_lens[2] = A->cmap->n;
1489   col_lens[3] = a->nz*bs2;
1490 
1491   /* store lengths of each row and write (including header) to file */
1492   count = 0;
1493   for (i=0; i<a->mbs; i++) {
1494     for (j=0; j<bs; j++) {
1495       col_lens[4+count++] = bs*(a->i[i+1] - a->i[i]);
1496     }
1497   }
1498   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->N,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1499   ierr = PetscFree(col_lens);CHKERRQ(ierr);
1500 
1501   /* store column indices (zero start index) */
1502   ierr  = PetscMalloc((a->nz+1)*bs2*sizeof(PetscInt),&jj);CHKERRQ(ierr);
1503   count = 0;
1504   for (i=0; i<a->mbs; i++) {
1505     for (j=0; j<bs; j++) {
1506       for (k=a->i[i]; k<a->i[i+1]; k++) {
1507         for (l=0; l<bs; l++) {
1508           jj[count++] = bs*a->j[k] + l;
1509         }
1510       }
1511     }
1512   }
1513   ierr = PetscBinaryWrite(fd,jj,bs2*a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1514   ierr = PetscFree(jj);CHKERRQ(ierr);
1515 
1516   /* store nonzero values */
1517   ierr  = PetscMalloc((a->nz+1)*bs2*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
1518   count = 0;
1519   for (i=0; i<a->mbs; i++) {
1520     for (j=0; j<bs; j++) {
1521       for (k=a->i[i]; k<a->i[i+1]; k++) {
1522         for (l=0; l<bs; l++) {
1523           aa[count++] = a->a[bs2*k + l*bs + j];
1524         }
1525       }
1526     }
1527   }
1528   ierr = PetscBinaryWrite(fd,aa,bs2*a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
1529   ierr = PetscFree(aa);CHKERRQ(ierr);
1530 
1531   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
1532   if (file) {
1533     fprintf(file,"-matload_block_size %d\n",(int)A->rmap->bs);
1534   }
1535   PetscFunctionReturn(0);
1536 }
1537 
1538 #undef __FUNCT__
1539 #define __FUNCT__ "MatView_SeqBAIJ_ASCII"
1540 static PetscErrorCode MatView_SeqBAIJ_ASCII(Mat A,PetscViewer viewer)
1541 {
1542   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1543   PetscErrorCode    ierr;
1544   PetscInt          i,j,bs = A->rmap->bs,k,l,bs2=a->bs2;
1545   PetscViewerFormat format;
1546 
1547   PetscFunctionBegin;
1548   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1549   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
1550     ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
1551   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
1552     Mat aij;
1553     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&aij);CHKERRQ(ierr);
1554     ierr = MatView(aij,viewer);CHKERRQ(ierr);
1555     ierr = MatDestroy(aij);CHKERRQ(ierr);
1556   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
1557      PetscFunctionReturn(0);
1558   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
1559     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
1560     for (i=0; i<a->mbs; i++) {
1561       for (j=0; j<bs; j++) {
1562         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
1563         for (k=a->i[i]; k<a->i[i+1]; k++) {
1564           for (l=0; l<bs; l++) {
1565 #if defined(PETSC_USE_COMPLEX)
1566             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1567               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %Gi) ",bs*a->j[k]+l,
1568                       PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1569             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1570               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %Gi) ",bs*a->j[k]+l,
1571                       PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1572             } else if (PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1573               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1574             }
1575 #else
1576             if (a->a[bs2*k + l*bs + j] != 0.0) {
1577               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
1578             }
1579 #endif
1580           }
1581         }
1582         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
1583       }
1584     }
1585     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
1586   } else {
1587     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
1588     for (i=0; i<a->mbs; i++) {
1589       for (j=0; j<bs; j++) {
1590         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
1591         for (k=a->i[i]; k<a->i[i+1]; k++) {
1592           for (l=0; l<bs; l++) {
1593 #if defined(PETSC_USE_COMPLEX)
1594             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0) {
1595               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i) ",bs*a->j[k]+l,
1596                 PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1597             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0) {
1598               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i) ",bs*a->j[k]+l,
1599                 PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1600             } else {
1601               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1602             }
1603 #else
1604             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
1605 #endif
1606           }
1607         }
1608         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
1609       }
1610     }
1611     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
1612   }
1613   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1614   PetscFunctionReturn(0);
1615 }
1616 
1617 #undef __FUNCT__
1618 #define __FUNCT__ "MatView_SeqBAIJ_Draw_Zoom"
1619 static PetscErrorCode MatView_SeqBAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
1620 {
1621   Mat            A = (Mat) Aa;
1622   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ*)A->data;
1623   PetscErrorCode ierr;
1624   PetscInt       row,i,j,k,l,mbs=a->mbs,color,bs=A->rmap->bs,bs2=a->bs2;
1625   PetscReal      xl,yl,xr,yr,x_l,x_r,y_l,y_r;
1626   MatScalar      *aa;
1627   PetscViewer    viewer;
1628 
1629   PetscFunctionBegin;
1630 
1631   /* still need to add support for contour plot of nonzeros; see MatView_SeqAIJ_Draw_Zoom()*/
1632   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
1633 
1634   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
1635 
1636   /* loop over matrix elements drawing boxes */
1637   color = PETSC_DRAW_BLUE;
1638   for (i=0,row=0; i<mbs; i++,row+=bs) {
1639     for (j=a->i[i]; j<a->i[i+1]; j++) {
1640       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1641       x_l = a->j[j]*bs; x_r = x_l + 1.0;
1642       aa = a->a + j*bs2;
1643       for (k=0; k<bs; k++) {
1644         for (l=0; l<bs; l++) {
1645           if (PetscRealPart(*aa++) >=  0.) continue;
1646           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1647         }
1648       }
1649     }
1650   }
1651   color = PETSC_DRAW_CYAN;
1652   for (i=0,row=0; i<mbs; i++,row+=bs) {
1653     for (j=a->i[i]; j<a->i[i+1]; j++) {
1654       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1655       x_l = a->j[j]*bs; x_r = x_l + 1.0;
1656       aa = a->a + j*bs2;
1657       for (k=0; k<bs; k++) {
1658         for (l=0; l<bs; l++) {
1659           if (PetscRealPart(*aa++) != 0.) continue;
1660           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1661         }
1662       }
1663     }
1664   }
1665 
1666   color = PETSC_DRAW_RED;
1667   for (i=0,row=0; i<mbs; i++,row+=bs) {
1668     for (j=a->i[i]; j<a->i[i+1]; j++) {
1669       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1670       x_l = a->j[j]*bs; x_r = x_l + 1.0;
1671       aa = a->a + j*bs2;
1672       for (k=0; k<bs; k++) {
1673         for (l=0; l<bs; l++) {
1674           if (PetscRealPart(*aa++) <= 0.) continue;
1675           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1676         }
1677       }
1678     }
1679   }
1680   PetscFunctionReturn(0);
1681 }
1682 
1683 #undef __FUNCT__
1684 #define __FUNCT__ "MatView_SeqBAIJ_Draw"
1685 static PetscErrorCode MatView_SeqBAIJ_Draw(Mat A,PetscViewer viewer)
1686 {
1687   PetscErrorCode ierr;
1688   PetscReal      xl,yl,xr,yr,w,h;
1689   PetscDraw      draw;
1690   PetscTruth     isnull;
1691 
1692   PetscFunctionBegin;
1693 
1694   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1695   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
1696 
1697   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
1698   xr  = A->cmap->n; yr = A->rmap->N; h = yr/10.0; w = xr/10.0;
1699   xr += w;    yr += h;  xl = -w;     yl = -h;
1700   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
1701   ierr = PetscDrawZoom(draw,MatView_SeqBAIJ_Draw_Zoom,A);CHKERRQ(ierr);
1702   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",PETSC_NULL);CHKERRQ(ierr);
1703   PetscFunctionReturn(0);
1704 }
1705 
1706 #undef __FUNCT__
1707 #define __FUNCT__ "MatView_SeqBAIJ"
1708 PetscErrorCode MatView_SeqBAIJ(Mat A,PetscViewer viewer)
1709 {
1710   PetscErrorCode ierr;
1711   PetscTruth     iascii,isbinary,isdraw;
1712 
1713   PetscFunctionBegin;
1714   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
1715   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_BINARY,&isbinary);CHKERRQ(ierr);
1716   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
1717   if (iascii){
1718     ierr = MatView_SeqBAIJ_ASCII(A,viewer);CHKERRQ(ierr);
1719   } else if (isbinary) {
1720     ierr = MatView_SeqBAIJ_Binary(A,viewer);CHKERRQ(ierr);
1721   } else if (isdraw) {
1722     ierr = MatView_SeqBAIJ_Draw(A,viewer);CHKERRQ(ierr);
1723   } else {
1724     Mat B;
1725     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&B);CHKERRQ(ierr);
1726     ierr = MatView(B,viewer);CHKERRQ(ierr);
1727     ierr = MatDestroy(B);CHKERRQ(ierr);
1728   }
1729   PetscFunctionReturn(0);
1730 }
1731 
1732 
1733 #undef __FUNCT__
1734 #define __FUNCT__ "MatGetValues_SeqBAIJ"
1735 PetscErrorCode MatGetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
1736 {
1737   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
1738   PetscInt    *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
1739   PetscInt    *ai = a->i,*ailen = a->ilen;
1740   PetscInt    brow,bcol,ridx,cidx,bs=A->rmap->bs,bs2=a->bs2;
1741   MatScalar   *ap,*aa = a->a;
1742 
1743   PetscFunctionBegin;
1744   for (k=0; k<m; k++) { /* loop over rows */
1745     row  = im[k]; brow = row/bs;
1746     if (row < 0) {v += n; continue;} /* SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Negative row"); */
1747     if (row >= A->rmap->N) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Row %D too large", row);
1748     rp   = aj + ai[brow] ; ap = aa + bs2*ai[brow] ;
1749     nrow = ailen[brow];
1750     for (l=0; l<n; l++) { /* loop over columns */
1751       if (in[l] < 0) {v++; continue;} /* SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Negative column"); */
1752       if (in[l] >= A->cmap->n) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Column %D too large", in[l]);
1753       col  = in[l] ;
1754       bcol = col/bs;
1755       cidx = col%bs;
1756       ridx = row%bs;
1757       high = nrow;
1758       low  = 0; /* assume unsorted */
1759       while (high-low > 5) {
1760         t = (low+high)/2;
1761         if (rp[t] > bcol) high = t;
1762         else             low  = t;
1763       }
1764       for (i=low; i<high; i++) {
1765         if (rp[i] > bcol) break;
1766         if (rp[i] == bcol) {
1767           *v++ = ap[bs2*i+bs*cidx+ridx];
1768           goto finished;
1769         }
1770       }
1771       *v++ = 0.0;
1772       finished:;
1773     }
1774   }
1775   PetscFunctionReturn(0);
1776 }
1777 
1778 #define CHUNKSIZE 10
1779 #undef __FUNCT__
1780 #define __FUNCT__ "MatSetValuesBlocked_SeqBAIJ"
1781 PetscErrorCode MatSetValuesBlocked_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
1782 {
1783   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1784   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,rmax,N,lastcol = -1;
1785   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
1786   PetscErrorCode    ierr;
1787   PetscInt          *aj=a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs,stepval;
1788   PetscTruth        roworiented=a->roworiented;
1789   const PetscScalar *value = v;
1790   MatScalar         *ap,*aa = a->a,*bap;
1791 
1792   PetscFunctionBegin;
1793   if (roworiented) {
1794     stepval = (n-1)*bs;
1795   } else {
1796     stepval = (m-1)*bs;
1797   }
1798   for (k=0; k<m; k++) { /* loop over added rows */
1799     row  = im[k];
1800     if (row < 0) continue;
1801 #if defined(PETSC_USE_DEBUG)
1802     if (row >= a->mbs) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,a->mbs-1);
1803 #endif
1804     rp   = aj + ai[row];
1805     ap   = aa + bs2*ai[row];
1806     rmax = imax[row];
1807     nrow = ailen[row];
1808     low  = 0;
1809     high = nrow;
1810     for (l=0; l<n; l++) { /* loop over added columns */
1811       if (in[l] < 0) continue;
1812 #if defined(PETSC_USE_DEBUG)
1813       if (in[l] >= a->nbs) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],a->nbs-1);
1814 #endif
1815       col = in[l];
1816       if (roworiented) {
1817         value = v + k*(stepval+bs)*bs + l*bs;
1818       } else {
1819         value = v + l*(stepval+bs)*bs + k*bs;
1820       }
1821       if (col <= lastcol) low = 0; else high = nrow;
1822       lastcol = col;
1823       while (high-low > 7) {
1824         t = (low+high)/2;
1825         if (rp[t] > col) high = t;
1826         else             low  = t;
1827       }
1828       for (i=low; i<high; i++) {
1829         if (rp[i] > col) break;
1830         if (rp[i] == col) {
1831           bap  = ap +  bs2*i;
1832           if (roworiented) {
1833             if (is == ADD_VALUES) {
1834               for (ii=0; ii<bs; ii++,value+=stepval) {
1835                 for (jj=ii; jj<bs2; jj+=bs) {
1836                   bap[jj] += *value++;
1837                 }
1838               }
1839             } else {
1840               for (ii=0; ii<bs; ii++,value+=stepval) {
1841                 for (jj=ii; jj<bs2; jj+=bs) {
1842                   bap[jj] = *value++;
1843                 }
1844               }
1845             }
1846           } else {
1847             if (is == ADD_VALUES) {
1848               for (ii=0; ii<bs; ii++,value+=stepval) {
1849                 for (jj=0; jj<bs; jj++) {
1850                   *bap++ += *value++;
1851                 }
1852               }
1853             } else {
1854               for (ii=0; ii<bs; ii++,value+=stepval) {
1855                 for (jj=0; jj<bs; jj++) {
1856                   *bap++  = *value++;
1857                 }
1858               }
1859             }
1860           }
1861           goto noinsert2;
1862         }
1863       }
1864       if (nonew == 1) goto noinsert2;
1865       if (nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
1866       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
1867       N = nrow++ - 1; high++;
1868       /* shift up all the later entries in this row */
1869       for (ii=N; ii>=i; ii--) {
1870         rp[ii+1] = rp[ii];
1871         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
1872       }
1873       if (N >= i) {
1874         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
1875       }
1876       rp[i] = col;
1877       bap   = ap +  bs2*i;
1878       if (roworiented) {
1879         for (ii=0; ii<bs; ii++,value+=stepval) {
1880           for (jj=ii; jj<bs2; jj+=bs) {
1881             bap[jj] = *value++;
1882           }
1883         }
1884       } else {
1885         for (ii=0; ii<bs; ii++,value+=stepval) {
1886           for (jj=0; jj<bs; jj++) {
1887             *bap++  = *value++;
1888           }
1889         }
1890       }
1891       noinsert2:;
1892       low = i;
1893     }
1894     ailen[row] = nrow;
1895   }
1896   PetscFunctionReturn(0);
1897 }
1898 
1899 #undef __FUNCT__
1900 #define __FUNCT__ "MatAssemblyEnd_SeqBAIJ"
1901 PetscErrorCode MatAssemblyEnd_SeqBAIJ(Mat A,MatAssemblyType mode)
1902 {
1903   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1904   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
1905   PetscInt       m = A->rmap->N,*ip,N,*ailen = a->ilen;
1906   PetscErrorCode ierr;
1907   PetscInt       mbs = a->mbs,bs2 = a->bs2,rmax = 0;
1908   MatScalar      *aa = a->a,*ap;
1909   PetscReal      ratio=0.6;
1910 
1911   PetscFunctionBegin;
1912   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
1913 
1914   if (m) rmax = ailen[0];
1915   for (i=1; i<mbs; i++) {
1916     /* move each row back by the amount of empty slots (fshift) before it*/
1917     fshift += imax[i-1] - ailen[i-1];
1918     rmax   = PetscMax(rmax,ailen[i]);
1919     if (fshift) {
1920       ip = aj + ai[i]; ap = aa + bs2*ai[i];
1921       N = ailen[i];
1922       for (j=0; j<N; j++) {
1923         ip[j-fshift] = ip[j];
1924         ierr = PetscMemcpy(ap+(j-fshift)*bs2,ap+j*bs2,bs2*sizeof(MatScalar));CHKERRQ(ierr);
1925       }
1926     }
1927     ai[i] = ai[i-1] + ailen[i-1];
1928   }
1929   if (mbs) {
1930     fshift += imax[mbs-1] - ailen[mbs-1];
1931     ai[mbs] = ai[mbs-1] + ailen[mbs-1];
1932   }
1933   /* reset ilen and imax for each row */
1934   for (i=0; i<mbs; i++) {
1935     ailen[i] = imax[i] = ai[i+1] - ai[i];
1936   }
1937   a->nz = ai[mbs];
1938 
1939   /* diagonals may have moved, so kill the diagonal pointers */
1940   a->idiagvalid = PETSC_FALSE;
1941   if (fshift && a->diag) {
1942     ierr = PetscFree(a->diag);CHKERRQ(ierr);
1943     ierr = PetscLogObjectMemory(A,-(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
1944     a->diag = 0;
1945   }
1946   if (fshift && a->nounused == -1) {
1947     SETERRQ4(PETSC_ERR_PLIB, "Unused space detected in matrix: %D X %D block size %D, %D unneeded", m, A->cmap->n, A->rmap->bs, fshift*bs2);
1948   }
1949   ierr = PetscInfo5(A,"Matrix size: %D X %D, block size %D; storage space: %D unneeded, %D used\n",m,A->cmap->n,A->rmap->bs,fshift*bs2,a->nz*bs2);CHKERRQ(ierr);
1950   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues is %D\n",a->reallocs);CHKERRQ(ierr);
1951   ierr = PetscInfo1(A,"Most nonzeros blocks in any row is %D\n",rmax);CHKERRQ(ierr);
1952   a->reallocs          = 0;
1953   A->info.nz_unneeded  = (PetscReal)fshift*bs2;
1954 
1955   /* check for zero rows. If found a large number of zero rows, use CompressedRow functions */
1956   if (a->compressedrow.use){
1957     ierr = Mat_CheckCompressedRow(A,&a->compressedrow,a->i,mbs,ratio);CHKERRQ(ierr);
1958   }
1959 
1960   A->same_nonzero = PETSC_TRUE;
1961   PetscFunctionReturn(0);
1962 }
1963 
1964 /*
1965    This function returns an array of flags which indicate the locations of contiguous
1966    blocks that should be zeroed. for eg: if bs = 3  and is = [0,1,2,3,5,6,7,8,9]
1967    then the resulting sizes = [3,1,1,3,1] correspondig to sets [(0,1,2),(3),(5),(6,7,8),(9)]
1968    Assume: sizes should be long enough to hold all the values.
1969 */
1970 #undef __FUNCT__
1971 #define __FUNCT__ "MatZeroRows_SeqBAIJ_Check_Blocks"
1972 static PetscErrorCode MatZeroRows_SeqBAIJ_Check_Blocks(PetscInt idx[],PetscInt n,PetscInt bs,PetscInt sizes[], PetscInt *bs_max)
1973 {
1974   PetscInt   i,j,k,row;
1975   PetscTruth flg;
1976 
1977   PetscFunctionBegin;
1978   for (i=0,j=0; i<n; j++) {
1979     row = idx[i];
1980     if (row%bs!=0) { /* Not the begining of a block */
1981       sizes[j] = 1;
1982       i++;
1983     } else if (i+bs > n) { /* complete block doesn't exist (at idx end) */
1984       sizes[j] = 1;         /* Also makes sure atleast 'bs' values exist for next else */
1985       i++;
1986     } else { /* Begining of the block, so check if the complete block exists */
1987       flg = PETSC_TRUE;
1988       for (k=1; k<bs; k++) {
1989         if (row+k != idx[i+k]) { /* break in the block */
1990           flg = PETSC_FALSE;
1991           break;
1992         }
1993       }
1994       if (flg) { /* No break in the bs */
1995         sizes[j] = bs;
1996         i+= bs;
1997       } else {
1998         sizes[j] = 1;
1999         i++;
2000       }
2001     }
2002   }
2003   *bs_max = j;
2004   PetscFunctionReturn(0);
2005 }
2006 
2007 #undef __FUNCT__
2008 #define __FUNCT__ "MatZeroRows_SeqBAIJ"
2009 PetscErrorCode MatZeroRows_SeqBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag)
2010 {
2011   Mat_SeqBAIJ    *baij=(Mat_SeqBAIJ*)A->data;
2012   PetscErrorCode ierr;
2013   PetscInt       i,j,k,count,*rows;
2014   PetscInt       bs=A->rmap->bs,bs2=baij->bs2,*sizes,row,bs_max;
2015   PetscScalar    zero = 0.0;
2016   MatScalar      *aa;
2017 
2018   PetscFunctionBegin;
2019   /* Make a copy of the IS and  sort it */
2020   /* allocate memory for rows,sizes */
2021   ierr  = PetscMalloc((3*is_n+1)*sizeof(PetscInt),&rows);CHKERRQ(ierr);
2022   sizes = rows + is_n;
2023 
2024   /* copy IS values to rows, and sort them */
2025   for (i=0; i<is_n; i++) { rows[i] = is_idx[i]; }
2026   ierr = PetscSortInt(is_n,rows);CHKERRQ(ierr);
2027   if (baij->keepnonzeropattern) {
2028     for (i=0; i<is_n; i++) { sizes[i] = 1; }
2029     bs_max = is_n;
2030     A->same_nonzero = PETSC_TRUE;
2031   } else {
2032     ierr = MatZeroRows_SeqBAIJ_Check_Blocks(rows,is_n,bs,sizes,&bs_max);CHKERRQ(ierr);
2033     A->same_nonzero = PETSC_FALSE;
2034   }
2035 
2036   for (i=0,j=0; i<bs_max; j+=sizes[i],i++) {
2037     row   = rows[j];
2038     if (row < 0 || row > A->rmap->N) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range",row);
2039     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
2040     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
2041     if (sizes[i] == bs && !baij->keepnonzeropattern) {
2042       if (diag != 0.0) {
2043         if (baij->ilen[row/bs] > 0) {
2044           baij->ilen[row/bs]       = 1;
2045           baij->j[baij->i[row/bs]] = row/bs;
2046           ierr = PetscMemzero(aa,count*bs*sizeof(MatScalar));CHKERRQ(ierr);
2047         }
2048         /* Now insert all the diagonal values for this bs */
2049         for (k=0; k<bs; k++) {
2050           ierr = (*A->ops->setvalues)(A,1,rows+j+k,1,rows+j+k,&diag,INSERT_VALUES);CHKERRQ(ierr);
2051         }
2052       } else { /* (diag == 0.0) */
2053         baij->ilen[row/bs] = 0;
2054       } /* end (diag == 0.0) */
2055     } else { /* (sizes[i] != bs) */
2056 #if defined (PETSC_USE_DEBUG)
2057       if (sizes[i] != 1) SETERRQ(PETSC_ERR_PLIB,"Internal Error. Value should be 1");
2058 #endif
2059       for (k=0; k<count; k++) {
2060         aa[0] =  zero;
2061         aa    += bs;
2062       }
2063       if (diag != 0.0) {
2064         ierr = (*A->ops->setvalues)(A,1,rows+j,1,rows+j,&diag,INSERT_VALUES);CHKERRQ(ierr);
2065       }
2066     }
2067   }
2068 
2069   ierr = PetscFree(rows);CHKERRQ(ierr);
2070   ierr = MatAssemblyEnd_SeqBAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2071   PetscFunctionReturn(0);
2072 }
2073 
2074 #undef __FUNCT__
2075 #define __FUNCT__ "MatSetValues_SeqBAIJ"
2076 PetscErrorCode MatSetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
2077 {
2078   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2079   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,lastcol = -1;
2080   PetscInt       *imax=a->imax,*ai=a->i,*ailen=a->ilen;
2081   PetscInt       *aj=a->j,nonew=a->nonew,bs=A->rmap->bs,brow,bcol;
2082   PetscErrorCode ierr;
2083   PetscInt       ridx,cidx,bs2=a->bs2;
2084   PetscTruth     roworiented=a->roworiented;
2085   MatScalar      *ap,value,*aa=a->a,*bap;
2086 
2087   PetscFunctionBegin;
2088   for (k=0; k<m; k++) { /* loop over added rows */
2089     row  = im[k];
2090     brow = row/bs;
2091     if (row < 0) continue;
2092 #if defined(PETSC_USE_DEBUG)
2093     if (row >= A->rmap->N) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->N-1);
2094 #endif
2095     rp   = aj + ai[brow];
2096     ap   = aa + bs2*ai[brow];
2097     rmax = imax[brow];
2098     nrow = ailen[brow];
2099     low  = 0;
2100     high = nrow;
2101     for (l=0; l<n; l++) { /* loop over added columns */
2102       if (in[l] < 0) continue;
2103 #if defined(PETSC_USE_DEBUG)
2104       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
2105 #endif
2106       col = in[l]; bcol = col/bs;
2107       ridx = row % bs; cidx = col % bs;
2108       if (roworiented) {
2109         value = v[l + k*n];
2110       } else {
2111         value = v[k + l*m];
2112       }
2113       if (col <= lastcol) low = 0; else high = nrow;
2114       lastcol = col;
2115       while (high-low > 7) {
2116         t = (low+high)/2;
2117         if (rp[t] > bcol) high = t;
2118         else              low  = t;
2119       }
2120       for (i=low; i<high; i++) {
2121         if (rp[i] > bcol) break;
2122         if (rp[i] == bcol) {
2123           bap  = ap +  bs2*i + bs*cidx + ridx;
2124           if (is == ADD_VALUES) *bap += value;
2125           else                  *bap  = value;
2126           goto noinsert1;
2127         }
2128       }
2129       if (nonew == 1) goto noinsert1;
2130       if (nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
2131       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
2132       N = nrow++ - 1; high++;
2133       /* shift up all the later entries in this row */
2134       for (ii=N; ii>=i; ii--) {
2135         rp[ii+1] = rp[ii];
2136         ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
2137       }
2138       if (N>=i) {
2139         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
2140       }
2141       rp[i]                      = bcol;
2142       ap[bs2*i + bs*cidx + ridx] = value;
2143       a->nz++;
2144       noinsert1:;
2145       low = i;
2146     }
2147     ailen[brow] = nrow;
2148   }
2149   A->same_nonzero = PETSC_FALSE;
2150   PetscFunctionReturn(0);
2151 }
2152 
2153 EXTERN PetscErrorCode MatSeqBAIJSetNumericFactorization(Mat,PetscTruth);
2154 
2155 #undef __FUNCT__
2156 #define __FUNCT__ "MatILUFactor_SeqBAIJ"
2157 PetscErrorCode MatILUFactor_SeqBAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2158 {
2159   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)inA->data;
2160   Mat            outA;
2161   PetscErrorCode ierr;
2162   PetscTruth     row_identity,col_identity;
2163 
2164   PetscFunctionBegin;
2165   if (info->levels != 0) SETERRQ(PETSC_ERR_SUP,"Only levels = 0 supported for in-place ILU");
2166   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2167   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2168   if (!row_identity || !col_identity) {
2169     SETERRQ(PETSC_ERR_ARG_WRONG,"Row and column permutations must be identity for in-place ILU");
2170   }
2171 
2172   outA          = inA;
2173   inA->factor   = MAT_FACTOR_LU;
2174 
2175   ierr = MatMarkDiagonal_SeqBAIJ(inA);CHKERRQ(ierr);
2176 
2177   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2178   if (a->row) { ierr = ISDestroy(a->row);CHKERRQ(ierr); }
2179   a->row = row;
2180   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2181   if (a->col) { ierr = ISDestroy(a->col);CHKERRQ(ierr); }
2182   a->col = col;
2183 
2184   /* Create the invert permutation so that it can be used in MatLUFactorNumeric() */
2185   if (a->icol) {
2186     ierr = ISDestroy(a->icol);CHKERRQ(ierr);
2187   }
2188   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2189   ierr = PetscLogObjectParent(inA,a->icol);CHKERRQ(ierr);
2190 
2191   ierr = MatSeqBAIJSetNumericFactorization(inA,(PetscTruth)(row_identity && col_identity));CHKERRQ(ierr);
2192   if (!a->solve_work) {
2193     ierr = PetscMalloc((inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
2194     ierr = PetscLogObjectMemory(inA,(inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar));CHKERRQ(ierr);
2195   }
2196   ierr = MatLUFactorNumeric(outA,inA,info);CHKERRQ(ierr);
2197 
2198   PetscFunctionReturn(0);
2199 }
2200 
2201 EXTERN_C_BEGIN
2202 #undef __FUNCT__
2203 #define __FUNCT__ "MatSeqBAIJSetColumnIndices_SeqBAIJ"
2204 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetColumnIndices_SeqBAIJ(Mat mat,PetscInt *indices)
2205 {
2206   Mat_SeqBAIJ *baij = (Mat_SeqBAIJ *)mat->data;
2207   PetscInt    i,nz,mbs;
2208 
2209   PetscFunctionBegin;
2210   nz  = baij->maxnz/baij->bs2;
2211   mbs = baij->mbs;
2212   for (i=0; i<nz; i++) {
2213     baij->j[i] = indices[i];
2214   }
2215   baij->nz = nz;
2216   for (i=0; i<mbs; i++) {
2217     baij->ilen[i] = baij->imax[i];
2218   }
2219   PetscFunctionReturn(0);
2220 }
2221 EXTERN_C_END
2222 
2223 #undef __FUNCT__
2224 #define __FUNCT__ "MatSeqBAIJSetColumnIndices"
2225 /*@
2226     MatSeqBAIJSetColumnIndices - Set the column indices for all the rows
2227        in the matrix.
2228 
2229   Input Parameters:
2230 +  mat - the SeqBAIJ matrix
2231 -  indices - the column indices
2232 
2233   Level: advanced
2234 
2235   Notes:
2236     This can be called if you have precomputed the nonzero structure of the
2237   matrix and want to provide it to the matrix object to improve the performance
2238   of the MatSetValues() operation.
2239 
2240     You MUST have set the correct numbers of nonzeros per row in the call to
2241   MatCreateSeqBAIJ(), and the columns indices MUST be sorted.
2242 
2243     MUST be called before any calls to MatSetValues();
2244 
2245 @*/
2246 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetColumnIndices(Mat mat,PetscInt *indices)
2247 {
2248   PetscErrorCode ierr,(*f)(Mat,PetscInt *);
2249 
2250   PetscFunctionBegin;
2251   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2252   PetscValidPointer(indices,2);
2253   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatSeqBAIJSetColumnIndices_C",(void (**)(void))&f);CHKERRQ(ierr);
2254   if (f) {
2255     ierr = (*f)(mat,indices);CHKERRQ(ierr);
2256   } else {
2257     SETERRQ(PETSC_ERR_ARG_WRONG,"Wrong type of matrix to set column indices");
2258   }
2259   PetscFunctionReturn(0);
2260 }
2261 
2262 #undef __FUNCT__
2263 #define __FUNCT__ "MatGetRowMaxAbs_SeqBAIJ"
2264 PetscErrorCode MatGetRowMaxAbs_SeqBAIJ(Mat A,Vec v,PetscInt idx[])
2265 {
2266   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2267   PetscErrorCode ierr;
2268   PetscInt       i,j,n,row,bs,*ai,*aj,mbs;
2269   PetscReal      atmp;
2270   PetscScalar    *x,zero = 0.0;
2271   MatScalar      *aa;
2272   PetscInt       ncols,brow,krow,kcol;
2273 
2274   PetscFunctionBegin;
2275   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2276   bs   = A->rmap->bs;
2277   aa   = a->a;
2278   ai   = a->i;
2279   aj   = a->j;
2280   mbs  = a->mbs;
2281 
2282   ierr = VecSet(v,zero);CHKERRQ(ierr);
2283   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2284   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2285   if (n != A->rmap->N) SETERRQ(PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2286   for (i=0; i<mbs; i++) {
2287     ncols = ai[1] - ai[0]; ai++;
2288     brow  = bs*i;
2289     for (j=0; j<ncols; j++){
2290       for (kcol=0; kcol<bs; kcol++){
2291         for (krow=0; krow<bs; krow++){
2292           atmp = PetscAbsScalar(*aa);aa++;
2293           row = brow + krow;    /* row index */
2294           /* printf("val[%d,%d]: %G\n",row,bcol+kcol,atmp); */
2295           if (PetscAbsScalar(x[row]) < atmp) {x[row] = atmp; if (idx) idx[row] = bs*(*aj) + kcol;}
2296         }
2297       }
2298       aj++;
2299     }
2300   }
2301   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2302   PetscFunctionReturn(0);
2303 }
2304 
2305 #undef __FUNCT__
2306 #define __FUNCT__ "MatCopy_SeqBAIJ"
2307 PetscErrorCode MatCopy_SeqBAIJ(Mat A,Mat B,MatStructure str)
2308 {
2309   PetscErrorCode ierr;
2310 
2311   PetscFunctionBegin;
2312   /* If the two matrices have the same copy implementation, use fast copy. */
2313   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2314     Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2315     Mat_SeqBAIJ *b = (Mat_SeqBAIJ*)B->data;
2316 
2317     if (a->i[A->rmap->N] != b->i[B->rmap->N]) {
2318       SETERRQ(PETSC_ERR_ARG_INCOMP,"Number of nonzeros in two matrices are different");
2319     }
2320     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->N])*sizeof(PetscScalar));CHKERRQ(ierr);
2321   } else {
2322     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2323   }
2324   PetscFunctionReturn(0);
2325 }
2326 
2327 #undef __FUNCT__
2328 #define __FUNCT__ "MatSetUpPreallocation_SeqBAIJ"
2329 PetscErrorCode MatSetUpPreallocation_SeqBAIJ(Mat A)
2330 {
2331   PetscErrorCode ierr;
2332 
2333   PetscFunctionBegin;
2334   ierr =  MatSeqBAIJSetPreallocation_SeqBAIJ(A,-PetscMax(A->rmap->bs,1),PETSC_DEFAULT,0);CHKERRQ(ierr);
2335   PetscFunctionReturn(0);
2336 }
2337 
2338 #undef __FUNCT__
2339 #define __FUNCT__ "MatGetArray_SeqBAIJ"
2340 PetscErrorCode MatGetArray_SeqBAIJ(Mat A,PetscScalar *array[])
2341 {
2342   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2343   PetscFunctionBegin;
2344   *array = a->a;
2345   PetscFunctionReturn(0);
2346 }
2347 
2348 #undef __FUNCT__
2349 #define __FUNCT__ "MatRestoreArray_SeqBAIJ"
2350 PetscErrorCode MatRestoreArray_SeqBAIJ(Mat A,PetscScalar *array[])
2351 {
2352   PetscFunctionBegin;
2353   PetscFunctionReturn(0);
2354 }
2355 
2356 #include "petscblaslapack.h"
2357 #undef __FUNCT__
2358 #define __FUNCT__ "MatAXPY_SeqBAIJ"
2359 PetscErrorCode MatAXPY_SeqBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2360 {
2361   Mat_SeqBAIJ    *x  = (Mat_SeqBAIJ *)X->data,*y = (Mat_SeqBAIJ *)Y->data;
2362   PetscErrorCode ierr;
2363   PetscInt       i,bs=Y->rmap->bs,j,bs2;
2364   PetscBLASInt   one=1,bnz = PetscBLASIntCast(x->nz);
2365 
2366   PetscFunctionBegin;
2367   if (str == SAME_NONZERO_PATTERN) {
2368     PetscScalar alpha = a;
2369     BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one);
2370   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2371     if (y->xtoy && y->XtoY != X) {
2372       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
2373       ierr = MatDestroy(y->XtoY);CHKERRQ(ierr);
2374     }
2375     if (!y->xtoy) { /* get xtoy */
2376       ierr = MatAXPYGetxtoy_Private(x->mbs,x->i,x->j,PETSC_NULL, y->i,y->j,PETSC_NULL, &y->xtoy);CHKERRQ(ierr);
2377       y->XtoY = X;
2378       ierr = PetscObjectReference((PetscObject)X);CHKERRQ(ierr);
2379     }
2380     bs2 = bs*bs;
2381     for (i=0; i<x->nz; i++) {
2382       j = 0;
2383       while (j < bs2){
2384         y->a[bs2*y->xtoy[i]+j] += a*(x->a[bs2*i+j]);
2385         j++;
2386       }
2387     }
2388     ierr = PetscInfo3(Y,"ratio of nnz(X)/nnz(Y): %D/%D = %G\n",bs2*x->nz,bs2*y->nz,(PetscReal)(bs2*x->nz)/(bs2*y->nz));CHKERRQ(ierr);
2389   } else {
2390     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2391   }
2392   PetscFunctionReturn(0);
2393 }
2394 
2395 #undef __FUNCT__
2396 #define __FUNCT__ "MatSetBlockSize_SeqBAIJ"
2397 PetscErrorCode MatSetBlockSize_SeqBAIJ(Mat A,PetscInt bs)
2398 {
2399   PetscInt rbs,cbs;
2400   PetscErrorCode ierr;
2401 
2402   PetscFunctionBegin;
2403   ierr = PetscLayoutGetBlockSize(A->rmap,&rbs);CHKERRQ(ierr);
2404   ierr = PetscLayoutGetBlockSize(A->cmap,&cbs);CHKERRQ(ierr);
2405   if (rbs != bs) SETERRQ2(PETSC_ERR_ARG_SIZ,"Attempt to set block size %d with BAIJ %d",bs,rbs);
2406   if (cbs != bs) SETERRQ2(PETSC_ERR_ARG_SIZ,"Attempt to set block size %d with BAIJ %d",bs,cbs);
2407   PetscFunctionReturn(0);
2408 }
2409 
2410 #undef __FUNCT__
2411 #define __FUNCT__ "MatRealPart_SeqBAIJ"
2412 PetscErrorCode MatRealPart_SeqBAIJ(Mat A)
2413 {
2414   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2415   PetscInt       i,nz = a->bs2*a->i[a->mbs];
2416   MatScalar      *aa = a->a;
2417 
2418   PetscFunctionBegin;
2419   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
2420   PetscFunctionReturn(0);
2421 }
2422 
2423 #undef __FUNCT__
2424 #define __FUNCT__ "MatImaginaryPart_SeqBAIJ"
2425 PetscErrorCode MatImaginaryPart_SeqBAIJ(Mat A)
2426 {
2427   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2428   PetscInt       i,nz = a->bs2*a->i[a->mbs];
2429   MatScalar      *aa = a->a;
2430 
2431   PetscFunctionBegin;
2432   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
2433   PetscFunctionReturn(0);
2434 }
2435 
2436 extern PetscErrorCode MatFDColoringCreate_SeqAIJ(Mat,ISColoring,MatFDColoring);
2437 
2438 #undef __FUNCT__
2439 #define __FUNCT__ "MatGetColumnIJ_SeqBAIJ"
2440 /*
2441     Code almost idential to MatGetColumnIJ_SeqAIJ() should share common code
2442 */
2443 PetscErrorCode MatGetColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
2444 {
2445   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2446   PetscErrorCode ierr;
2447   PetscInt       bs = A->rmap->bs,i,*collengths,*cia,*cja,n = A->cmap->n/bs,m = A->rmap->n/bs;
2448   PetscInt       nz = a->i[m],row,*jj,mr,col;
2449 
2450   PetscFunctionBegin;
2451   *nn = n;
2452   if (!ia) PetscFunctionReturn(0);
2453   if (symmetric) {
2454     SETERRQ(PETSC_ERR_SUP,"Not for BAIJ matrices");
2455   } else {
2456     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&collengths);CHKERRQ(ierr);
2457     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
2458     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&cia);CHKERRQ(ierr);
2459     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cja);CHKERRQ(ierr);
2460     jj = a->j;
2461     for (i=0; i<nz; i++) {
2462       collengths[jj[i]]++;
2463     }
2464     cia[0] = oshift;
2465     for (i=0; i<n; i++) {
2466       cia[i+1] = cia[i] + collengths[i];
2467     }
2468     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
2469     jj   = a->j;
2470     for (row=0; row<m; row++) {
2471       mr = a->i[row+1] - a->i[row];
2472       for (i=0; i<mr; i++) {
2473         col = *jj++;
2474         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
2475       }
2476     }
2477     ierr = PetscFree(collengths);CHKERRQ(ierr);
2478     *ia = cia; *ja = cja;
2479   }
2480   PetscFunctionReturn(0);
2481 }
2482 
2483 #undef __FUNCT__
2484 #define __FUNCT__ "MatRestoreColumnIJ_SeqBAIJ"
2485 PetscErrorCode MatRestoreColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
2486 {
2487   PetscErrorCode ierr;
2488 
2489   PetscFunctionBegin;
2490   if (!ia) PetscFunctionReturn(0);
2491   ierr = PetscFree(*ia);CHKERRQ(ierr);
2492   ierr = PetscFree(*ja);CHKERRQ(ierr);
2493   PetscFunctionReturn(0);
2494 }
2495 
2496 #undef __FUNCT__
2497 #define __FUNCT__ "MatFDColoringApply_BAIJ"
2498 PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringApply_BAIJ(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
2499 {
2500   PetscErrorCode (*f)(void*,Vec,Vec,void*) = (PetscErrorCode (*)(void*,Vec,Vec,void *))coloring->f;
2501   PetscErrorCode ierr;
2502   PetscInt       bs = J->rmap->bs,i,j,k,start,end,l,row,col,*srows,**vscaleforrow,m1,m2;
2503   PetscScalar    dx,*y,*xx,*w3_array;
2504   PetscScalar    *vscale_array;
2505   PetscReal      epsilon = coloring->error_rel,umin = coloring->umin,unorm;
2506   Vec            w1=coloring->w1,w2=coloring->w2,w3;
2507   void           *fctx = coloring->fctx;
2508   PetscTruth     flg = PETSC_FALSE;
2509   PetscInt       ctype=coloring->ctype,N,col_start=0,col_end=0;
2510   Vec            x1_tmp;
2511 
2512   PetscFunctionBegin;
2513   PetscValidHeaderSpecific(J,MAT_COOKIE,1);
2514   PetscValidHeaderSpecific(coloring,MAT_FDCOLORING_COOKIE,2);
2515   PetscValidHeaderSpecific(x1,VEC_COOKIE,3);
2516   if (!f) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Must call MatFDColoringSetFunction()");
2517 
2518   ierr = PetscLogEventBegin(MAT_FDColoringApply,coloring,J,x1,0);CHKERRQ(ierr);
2519   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
2520   ierr = PetscOptionsGetTruth(PETSC_NULL,"-mat_fd_coloring_dont_rezero",&flg,PETSC_NULL);CHKERRQ(ierr);
2521   if (flg) {
2522     ierr = PetscInfo(coloring,"Not calling MatZeroEntries()\n");CHKERRQ(ierr);
2523   } else {
2524     PetscTruth assembled;
2525     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
2526     if (assembled) {
2527       ierr = MatZeroEntries(J);CHKERRQ(ierr);
2528     }
2529   }
2530 
2531   x1_tmp = x1;
2532   if (!coloring->vscale){
2533     ierr = VecDuplicate(x1_tmp,&coloring->vscale);CHKERRQ(ierr);
2534   }
2535 
2536   /*
2537     This is a horrible, horrible, hack. See DMMGComputeJacobian_Multigrid() it inproperly sets
2538     coloring->F for the coarser grids from the finest
2539   */
2540   if (coloring->F) {
2541     ierr = VecGetLocalSize(coloring->F,&m1);CHKERRQ(ierr);
2542     ierr = VecGetLocalSize(w1,&m2);CHKERRQ(ierr);
2543     if (m1 != m2) {
2544       coloring->F = 0;
2545       }
2546     }
2547 
2548   if (coloring->htype[0] == 'w') { /* tacky test; need to make systematic if we add other approaches to computing h*/
2549     ierr = VecNorm(x1_tmp,NORM_2,&unorm);CHKERRQ(ierr);
2550   }
2551   ierr = VecGetOwnershipRange(w1,&start,&end);CHKERRQ(ierr); /* OwnershipRange is used by ghosted x! */
2552 
2553   /* Set w1 = F(x1) */
2554   if (coloring->F) {
2555     w1          = coloring->F; /* use already computed value of function */
2556     coloring->F = 0;
2557   } else {
2558     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2559     ierr = (*f)(sctx,x1_tmp,w1,fctx);CHKERRQ(ierr);
2560     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2561   }
2562 
2563   if (!coloring->w3) {
2564     ierr = VecDuplicate(x1_tmp,&coloring->w3);CHKERRQ(ierr);
2565     ierr = PetscLogObjectParent(coloring,coloring->w3);CHKERRQ(ierr);
2566   }
2567   w3 = coloring->w3;
2568 
2569     CHKMEMQ;
2570     /* Compute all the local scale factors, including ghost points */
2571   ierr = VecGetLocalSize(x1_tmp,&N);CHKERRQ(ierr);
2572   ierr = VecGetArray(x1_tmp,&xx);CHKERRQ(ierr);
2573   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2574   if (ctype == IS_COLORING_GHOSTED){
2575     col_start = 0; col_end = N;
2576   } else if (ctype == IS_COLORING_GLOBAL){
2577     xx = xx - start;
2578     vscale_array = vscale_array - start;
2579     col_start = start; col_end = N + start;
2580   }    CHKMEMQ;
2581   for (col=col_start; col<col_end; col++){
2582     /* Loop over each local column, vscale[col] = 1./(epsilon*dx[col]) */
2583     if (coloring->htype[0] == 'w') {
2584       dx = 1.0 + unorm;
2585     } else {
2586       dx  = xx[col];
2587     }
2588     if (dx == 0.0) dx = 1.0;
2589 #if !defined(PETSC_USE_COMPLEX)
2590     if (dx < umin && dx >= 0.0)      dx = umin;
2591     else if (dx < 0.0 && dx > -umin) dx = -umin;
2592 #else
2593     if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2594     else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2595 #endif
2596     dx               *= epsilon;
2597     vscale_array[col] = 1.0/dx;
2598   }     CHKMEMQ;
2599   if (ctype == IS_COLORING_GLOBAL)  vscale_array = vscale_array + start;
2600   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2601   if (ctype == IS_COLORING_GLOBAL){
2602     ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2603     ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2604   }
2605         CHKMEMQ;
2606   if (coloring->vscaleforrow) {
2607     vscaleforrow = coloring->vscaleforrow;
2608   } else {
2609     SETERRQ(PETSC_ERR_ARG_NULL,"Null Object: coloring->vscaleforrow");
2610   }
2611 
2612 
2613   ierr = PetscMalloc(bs*sizeof(PetscInt),&srows);CHKERRQ(ierr);
2614   /*
2615     Loop over each color
2616   */
2617   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2618   for (k=0; k<coloring->ncolors; k++) {
2619     coloring->currentcolor = k;
2620     for (i=0; i<bs; i++) {
2621       ierr = VecCopy(x1_tmp,w3);CHKERRQ(ierr);
2622       ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);
2623       if (ctype == IS_COLORING_GLOBAL) w3_array = w3_array - start;
2624       /*
2625 	Loop over each column associated with color
2626 	adding the perturbation to the vector w3.
2627       */
2628       for (l=0; l<coloring->ncolumns[k]; l++) {
2629 	col = i + bs*coloring->columns[k][l];    /* local column of the matrix we are probing for */
2630 	if (coloring->htype[0] == 'w') {
2631 	  dx = 1.0 + unorm;
2632 	} else {
2633 	  dx  = xx[col];
2634 	}
2635 	if (dx == 0.0) dx = 1.0;
2636 #if !defined(PETSC_USE_COMPLEX)
2637 	if (dx < umin && dx >= 0.0)      dx = umin;
2638 	else if (dx < 0.0 && dx > -umin) dx = -umin;
2639 #else
2640 	if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2641 	else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2642 #endif
2643 	dx            *= epsilon;
2644 	if (!PetscAbsScalar(dx)) SETERRQ(PETSC_ERR_PLIB,"Computed 0 differencing parameter");
2645 	w3_array[col] += dx;
2646       }
2647       if (ctype == IS_COLORING_GLOBAL) w3_array = w3_array + start;
2648       ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2649 
2650       /*
2651 	Evaluate function at w3 = x1 + dx (here dx is a vector of perturbations)
2652 	w2 = F(x1 + dx) - F(x1)
2653       */
2654       ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2655       ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
2656       ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2657       ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
2658 
2659       /*
2660 	Loop over rows of vector, putting results into Jacobian matrix
2661       */
2662       ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
2663       for (l=0; l<coloring->nrows[k]; l++) {
2664 	row    = bs*coloring->rows[k][l];             /* local row index */
2665 	col    = i + bs*coloring->columnsforrow[k][l];    /* global column index */
2666         for (j=0; j<bs; j++) {
2667   	  y[row+j] *= vscale_array[j+bs*vscaleforrow[k][l]];
2668           srows[j]  = row + start + j;
2669         }
2670 	ierr   = MatSetValues(J,bs,srows,1,&col,y+row,INSERT_VALUES);CHKERRQ(ierr);
2671       }
2672       ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
2673     }
2674   } /* endof for each color */
2675   if (ctype == IS_COLORING_GLOBAL) xx = xx + start;
2676   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2677   ierr = VecRestoreArray(x1_tmp,&xx);CHKERRQ(ierr);
2678   ierr = PetscFree(srows);CHKERRQ(ierr);
2679 
2680   coloring->currentcolor = -1;
2681   ierr  = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2682   ierr  = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2683   ierr = PetscLogEventEnd(MAT_FDColoringApply,coloring,J,x1,0);CHKERRQ(ierr);
2684   PetscFunctionReturn(0);
2685 }
2686 
2687 /* -------------------------------------------------------------------*/
2688 static struct _MatOps MatOps_Values = {MatSetValues_SeqBAIJ,
2689        MatGetRow_SeqBAIJ,
2690        MatRestoreRow_SeqBAIJ,
2691        MatMult_SeqBAIJ_N,
2692 /* 4*/ MatMultAdd_SeqBAIJ_N,
2693        MatMultTranspose_SeqBAIJ,
2694        MatMultTransposeAdd_SeqBAIJ,
2695        0,
2696        0,
2697        0,
2698 /*10*/ 0,
2699        MatLUFactor_SeqBAIJ,
2700        0,
2701        0,
2702        MatTranspose_SeqBAIJ,
2703 /*15*/ MatGetInfo_SeqBAIJ,
2704        MatEqual_SeqBAIJ,
2705        MatGetDiagonal_SeqBAIJ,
2706        MatDiagonalScale_SeqBAIJ,
2707        MatNorm_SeqBAIJ,
2708 /*20*/ 0,
2709        MatAssemblyEnd_SeqBAIJ,
2710        MatSetOption_SeqBAIJ,
2711        MatZeroEntries_SeqBAIJ,
2712 /*24*/ MatZeroRows_SeqBAIJ,
2713        0,
2714        0,
2715        0,
2716        0,
2717 /*29*/ MatSetUpPreallocation_SeqBAIJ,
2718        0,
2719        0,
2720        MatGetArray_SeqBAIJ,
2721        MatRestoreArray_SeqBAIJ,
2722 /*34*/ MatDuplicate_SeqBAIJ,
2723        0,
2724        0,
2725        MatILUFactor_SeqBAIJ,
2726        0,
2727 /*39*/ MatAXPY_SeqBAIJ,
2728        MatGetSubMatrices_SeqBAIJ,
2729        MatIncreaseOverlap_SeqBAIJ,
2730        MatGetValues_SeqBAIJ,
2731        MatCopy_SeqBAIJ,
2732 /*44*/ 0,
2733        MatScale_SeqBAIJ,
2734        0,
2735        0,
2736        MatILUDTFactor_SeqBAIJ,
2737 /*49*/ MatSetBlockSize_SeqBAIJ,
2738        MatGetRowIJ_SeqBAIJ,
2739        MatRestoreRowIJ_SeqBAIJ,
2740        MatGetColumnIJ_SeqBAIJ,
2741        MatRestoreColumnIJ_SeqBAIJ,
2742 /*54*/ MatFDColoringCreate_SeqAIJ,
2743        0,
2744        0,
2745        0,
2746        MatSetValuesBlocked_SeqBAIJ,
2747 /*59*/ MatGetSubMatrix_SeqBAIJ,
2748        MatDestroy_SeqBAIJ,
2749        MatView_SeqBAIJ,
2750        0,
2751        0,
2752 /*64*/ 0,
2753        0,
2754        0,
2755        0,
2756        0,
2757 /*69*/ MatGetRowMaxAbs_SeqBAIJ,
2758        0,
2759        MatConvert_Basic,
2760        0,
2761        0,
2762 /*74*/ 0,
2763        MatFDColoringApply_BAIJ,
2764        0,
2765        0,
2766        0,
2767 /*79*/ 0,
2768        0,
2769        0,
2770        0,
2771        MatLoad_SeqBAIJ,
2772 /*84*/ 0,
2773        0,
2774        0,
2775        0,
2776        0,
2777 /*89*/ 0,
2778        0,
2779        0,
2780        0,
2781        0,
2782 /*94*/ 0,
2783        0,
2784        0,
2785        0,
2786        0,
2787 /*99*/0,
2788        0,
2789        0,
2790        0,
2791        0,
2792 /*104*/0,
2793        MatRealPart_SeqBAIJ,
2794        MatImaginaryPart_SeqBAIJ,
2795        0,
2796        0,
2797 /*109*/0,
2798        0,
2799        0,
2800        0,
2801        MatMissingDiagonal_SeqBAIJ,
2802 /*114*/0,
2803        0,
2804        0,
2805        0,
2806        0,
2807 /*119*/0,
2808        0,
2809        MatMultHermitianTranspose_SeqBAIJ,
2810        MatMultHermitianTransposeAdd_SeqBAIJ
2811 };
2812 
2813 EXTERN_C_BEGIN
2814 #undef __FUNCT__
2815 #define __FUNCT__ "MatStoreValues_SeqBAIJ"
2816 PetscErrorCode PETSCMAT_DLLEXPORT MatStoreValues_SeqBAIJ(Mat mat)
2817 {
2818   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ *)mat->data;
2819   PetscInt       nz = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
2820   PetscErrorCode ierr;
2821 
2822   PetscFunctionBegin;
2823   if (aij->nonew != 1) {
2824     SETERRQ(PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2825   }
2826 
2827   /* allocate space for values if not already there */
2828   if (!aij->saved_values) {
2829     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
2830     ierr = PetscLogObjectMemory(mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2831   }
2832 
2833   /* copy values over */
2834   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2835   PetscFunctionReturn(0);
2836 }
2837 EXTERN_C_END
2838 
2839 EXTERN_C_BEGIN
2840 #undef __FUNCT__
2841 #define __FUNCT__ "MatRetrieveValues_SeqBAIJ"
2842 PetscErrorCode PETSCMAT_DLLEXPORT MatRetrieveValues_SeqBAIJ(Mat mat)
2843 {
2844   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ *)mat->data;
2845   PetscErrorCode ierr;
2846   PetscInt       nz = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
2847 
2848   PetscFunctionBegin;
2849   if (aij->nonew != 1) {
2850     SETERRQ(PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2851   }
2852   if (!aij->saved_values) {
2853     SETERRQ(PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
2854   }
2855 
2856   /* copy values over */
2857   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2858   PetscFunctionReturn(0);
2859 }
2860 EXTERN_C_END
2861 
2862 EXTERN_C_BEGIN
2863 extern PetscErrorCode PETSCMAT_DLLEXPORT MatConvert_SeqBAIJ_SeqAIJ(Mat, MatType,MatReuse,Mat*);
2864 extern PetscErrorCode PETSCMAT_DLLEXPORT MatConvert_SeqBAIJ_SeqSBAIJ(Mat, MatType,MatReuse,Mat*);
2865 EXTERN_C_END
2866 
2867 EXTERN_C_BEGIN
2868 #undef __FUNCT__
2869 #define __FUNCT__ "MatSeqBAIJSetPreallocation_SeqBAIJ"
2870 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocation_SeqBAIJ(Mat B,PetscInt bs,PetscInt nz,PetscInt *nnz)
2871 {
2872   Mat_SeqBAIJ    *b;
2873   PetscErrorCode ierr;
2874   PetscInt       i,mbs,nbs,bs2,newbs = PetscAbs(bs);
2875   PetscTruth     flg,skipallocation = PETSC_FALSE;
2876 
2877   PetscFunctionBegin;
2878 
2879   if (nz == MAT_SKIP_ALLOCATION) {
2880     skipallocation = PETSC_TRUE;
2881     nz             = 0;
2882   }
2883 
2884   if (bs < 0) {
2885     ierr = PetscOptionsBegin(((PetscObject)B)->comm,((PetscObject)B)->prefix,"Block options for SEQBAIJ matrix 1","Mat");CHKERRQ(ierr);
2886       ierr = PetscOptionsInt("-mat_block_size","Set the blocksize used to store the matrix","MatSeqBAIJSetPreallocation",newbs,&newbs,PETSC_NULL);CHKERRQ(ierr);
2887     ierr = PetscOptionsEnd();CHKERRQ(ierr);
2888     bs   = PetscAbs(bs);
2889   }
2890   if (nnz && newbs != bs) {
2891     SETERRQ(PETSC_ERR_ARG_WRONG,"Cannot change blocksize from command line if setting nnz");
2892   }
2893   bs   = newbs;
2894 
2895   ierr = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2896   ierr = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2897   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2898   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2899 
2900   B->preallocated = PETSC_TRUE;
2901 
2902   mbs  = B->rmap->n/bs;
2903   nbs  = B->cmap->n/bs;
2904   bs2  = bs*bs;
2905 
2906   if (mbs*bs!=B->rmap->n || nbs*bs!=B->cmap->n) {
2907     SETERRQ3(PETSC_ERR_ARG_SIZ,"Number rows %D, cols %D must be divisible by blocksize %D",B->rmap->N,B->cmap->n,bs);
2908   }
2909 
2910   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2911   if (nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
2912   if (nnz) {
2913     for (i=0; i<mbs; i++) {
2914       if (nnz[i] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be less than 0: local row %D value %D",i,nnz[i]);
2915       if (nnz[i] > nbs) SETERRQ3(PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be greater than block row length: local row %D value %D rowlength %D",i,nnz[i],nbs);
2916     }
2917   }
2918 
2919   b       = (Mat_SeqBAIJ*)B->data;
2920   ierr = PetscOptionsBegin(((PetscObject)B)->comm,PETSC_NULL,"Optimize options for SEQBAIJ matrix 2 ","Mat");CHKERRQ(ierr);
2921     ierr = PetscOptionsTruth("-mat_no_unroll","Do not optimize for block size (slow)",PETSC_NULL,PETSC_FALSE,&flg,PETSC_NULL);CHKERRQ(ierr);
2922   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2923 
2924   if (!flg) {
2925     switch (bs) {
2926     case 1:
2927       B->ops->mult            = MatMult_SeqBAIJ_1;
2928       B->ops->multadd         = MatMultAdd_SeqBAIJ_1;
2929       B->ops->sor           = MatSOR_SeqBAIJ_1;
2930       break;
2931     case 2:
2932       B->ops->mult            = MatMult_SeqBAIJ_2;
2933       B->ops->multadd         = MatMultAdd_SeqBAIJ_2;
2934       B->ops->sor           = MatSOR_SeqBAIJ_2;
2935       break;
2936     case 3:
2937       B->ops->mult            = MatMult_SeqBAIJ_3;
2938       B->ops->multadd         = MatMultAdd_SeqBAIJ_3;
2939       B->ops->sor           = MatSOR_SeqBAIJ_3;
2940       break;
2941     case 4:
2942       B->ops->mult            = MatMult_SeqBAIJ_4;
2943       B->ops->multadd         = MatMultAdd_SeqBAIJ_4;
2944       B->ops->sor           = MatSOR_SeqBAIJ_4;
2945       break;
2946     case 5:
2947       B->ops->mult            = MatMult_SeqBAIJ_5;
2948       B->ops->multadd         = MatMultAdd_SeqBAIJ_5;
2949       B->ops->sor           = MatSOR_SeqBAIJ_5;
2950       break;
2951     case 6:
2952       B->ops->mult            = MatMult_SeqBAIJ_6;
2953       B->ops->multadd         = MatMultAdd_SeqBAIJ_6;
2954       B->ops->sor           = MatSOR_SeqBAIJ_6;
2955       break;
2956     case 7:
2957       B->ops->mult            = MatMult_SeqBAIJ_7;
2958       B->ops->multadd         = MatMultAdd_SeqBAIJ_7;
2959       B->ops->sor           = MatSOR_SeqBAIJ_7;
2960       break;
2961     default:
2962       B->ops->mult            = MatMult_SeqBAIJ_N;
2963       B->ops->multadd         = MatMultAdd_SeqBAIJ_N;
2964       break;
2965     }
2966   }
2967   B->rmap->bs      = bs;
2968   b->mbs     = mbs;
2969   b->nbs     = nbs;
2970   if (!skipallocation) {
2971     if (!b->imax) {
2972       ierr = PetscMalloc2(mbs,PetscInt,&b->imax,mbs,PetscInt,&b->ilen);CHKERRQ(ierr);
2973       ierr = PetscLogObjectMemory(B,2*mbs*sizeof(PetscInt));
2974       b->free_imax_ilen = PETSC_TRUE;
2975     }
2976     /* b->ilen will count nonzeros in each block row so far. */
2977     for (i=0; i<mbs; i++) { b->ilen[i] = 0;}
2978     if (!nnz) {
2979       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2980       else if (nz <= 0)        nz = 1;
2981       for (i=0; i<mbs; i++) b->imax[i] = nz;
2982       nz = nz*mbs;
2983     } else {
2984       nz = 0;
2985       for (i=0; i<mbs; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
2986     }
2987 
2988     /* allocate the matrix space */
2989     ierr = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
2990     ierr = PetscMalloc3(bs2*nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->N+1,PetscInt,&b->i);CHKERRQ(ierr);
2991     ierr = PetscLogObjectMemory(B,(B->rmap->N+1)*sizeof(PetscInt)+nz*(bs2*sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
2992     ierr  = PetscMemzero(b->a,nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
2993     ierr  = PetscMemzero(b->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
2994     b->singlemalloc = PETSC_TRUE;
2995     b->i[0] = 0;
2996     for (i=1; i<mbs+1; i++) {
2997       b->i[i] = b->i[i-1] + b->imax[i-1];
2998     }
2999     b->free_a     = PETSC_TRUE;
3000     b->free_ij    = PETSC_TRUE;
3001   } else {
3002     b->free_a     = PETSC_FALSE;
3003     b->free_ij    = PETSC_FALSE;
3004   }
3005 
3006   B->rmap->bs          = bs;
3007   b->bs2              = bs2;
3008   b->mbs              = mbs;
3009   b->nz               = 0;
3010   b->maxnz            = nz*bs2;
3011   B->info.nz_unneeded = (PetscReal)b->maxnz;
3012   PetscFunctionReturn(0);
3013 }
3014 EXTERN_C_END
3015 
3016 EXTERN_C_BEGIN
3017 #undef __FUNCT__
3018 #define __FUNCT__ "MatSeqBAIJSetPreallocationCSR_SeqBAIJ"
3019 PetscErrorCode MatSeqBAIJSetPreallocationCSR_SeqBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
3020 {
3021   PetscInt       i,m,nz,nz_max=0,*nnz;
3022   PetscScalar    *values=0;
3023   PetscErrorCode ierr;
3024 
3025   PetscFunctionBegin;
3026 
3027   if (bs < 1) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
3028 
3029   ierr = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
3030   ierr = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
3031   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3032   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3033   m = B->rmap->n/bs;
3034 
3035   if (ii[0] != 0) { SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE, "ii[0] must be 0 but it is %D",ii[0]); }
3036   ierr = PetscMalloc((m+1) * sizeof(PetscInt), &nnz);CHKERRQ(ierr);
3037   for(i=0; i<m; i++) {
3038     nz = ii[i+1]- ii[i];
3039     if (nz < 0) { SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D",i,nz); }
3040     nz_max = PetscMax(nz_max, nz);
3041     nnz[i] = nz;
3042   }
3043   ierr = MatSeqBAIJSetPreallocation(B,bs,0,nnz);CHKERRQ(ierr);
3044   ierr = PetscFree(nnz);CHKERRQ(ierr);
3045 
3046   values = (PetscScalar*)V;
3047   if (!values) {
3048     ierr = PetscMalloc(bs*bs*(nz_max+1)*sizeof(PetscScalar),&values);CHKERRQ(ierr);
3049     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
3050   }
3051   for (i=0; i<m; i++) {
3052     PetscInt          ncols  = ii[i+1] - ii[i];
3053     const PetscInt    *icols = jj + ii[i];
3054     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
3055     ierr = MatSetValuesBlocked_SeqBAIJ(B,1,&i,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
3056   }
3057   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
3058   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3059   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3060 
3061   PetscFunctionReturn(0);
3062 }
3063 EXTERN_C_END
3064 
3065 
3066 EXTERN_C_BEGIN
3067 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_seqbaij_petsc(Mat,MatFactorType,Mat*);
3068 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactorAvailable_seqbaij_petsc(Mat,MatFactorType,Mat*);
3069 EXTERN_C_END
3070 
3071 /*MC
3072    MATSEQBAIJ - MATSEQBAIJ = "seqbaij" - A matrix type to be used for sequential block sparse matrices, based on
3073    block sparse compressed row format.
3074 
3075    Options Database Keys:
3076 . -mat_type seqbaij - sets the matrix type to "seqbaij" during a call to MatSetFromOptions()
3077 
3078   Level: beginner
3079 
3080 .seealso: MatCreateSeqBAIJ()
3081 M*/
3082 
3083 
3084 EXTERN_C_BEGIN
3085 #undef __FUNCT__
3086 #define __FUNCT__ "MatCreate_SeqBAIJ"
3087 PetscErrorCode PETSCMAT_DLLEXPORT MatCreate_SeqBAIJ(Mat B)
3088 {
3089   PetscErrorCode ierr;
3090   PetscMPIInt    size;
3091   Mat_SeqBAIJ    *b;
3092 
3093   PetscFunctionBegin;
3094   ierr = MPI_Comm_size(((PetscObject)B)->comm,&size);CHKERRQ(ierr);
3095   if (size > 1) SETERRQ(PETSC_ERR_ARG_WRONG,"Comm must be of size 1");
3096 
3097   ierr    = PetscNewLog(B,Mat_SeqBAIJ,&b);CHKERRQ(ierr);
3098   B->data = (void*)b;
3099   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3100   B->mapping               = 0;
3101   b->row                   = 0;
3102   b->col                   = 0;
3103   b->icol                  = 0;
3104   b->reallocs              = 0;
3105   b->saved_values          = 0;
3106 
3107   b->roworiented           = PETSC_TRUE;
3108   b->nonew                 = 0;
3109   b->diag                  = 0;
3110   b->solve_work            = 0;
3111   b->mult_work             = 0;
3112   B->spptr                 = 0;
3113   B->info.nz_unneeded      = (PetscReal)b->maxnz;
3114   b->keepnonzeropattern    = PETSC_FALSE;
3115   b->xtoy                  = 0;
3116   b->XtoY                  = 0;
3117   b->compressedrow.use     = PETSC_FALSE;
3118   b->compressedrow.nrows   = 0;
3119   b->compressedrow.i       = PETSC_NULL;
3120   b->compressedrow.rindex  = PETSC_NULL;
3121   b->compressedrow.checked = PETSC_FALSE;
3122   B->same_nonzero          = PETSC_FALSE;
3123 
3124   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactorAvailable_petsc_C",
3125                                      "MatGetFactorAvailable_seqbaij_petsc",
3126                                      MatGetFactorAvailable_seqbaij_petsc);CHKERRQ(ierr);
3127   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_petsc_C",
3128                                      "MatGetFactor_seqbaij_petsc",
3129                                      MatGetFactor_seqbaij_petsc);CHKERRQ(ierr);
3130   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJInvertBlockDiagonal_C",
3131                                      "MatInvertBlockDiagonal_SeqBAIJ",
3132                                       MatInvertBlockDiagonal_SeqBAIJ);CHKERRQ(ierr);
3133   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
3134                                      "MatStoreValues_SeqBAIJ",
3135                                       MatStoreValues_SeqBAIJ);CHKERRQ(ierr);
3136   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
3137                                      "MatRetrieveValues_SeqBAIJ",
3138                                       MatRetrieveValues_SeqBAIJ);CHKERRQ(ierr);
3139   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJSetColumnIndices_C",
3140                                      "MatSeqBAIJSetColumnIndices_SeqBAIJ",
3141                                       MatSeqBAIJSetColumnIndices_SeqBAIJ);CHKERRQ(ierr);
3142   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqbaij_seqaij_C",
3143                                      "MatConvert_SeqBAIJ_SeqAIJ",
3144                                       MatConvert_SeqBAIJ_SeqAIJ);CHKERRQ(ierr);
3145   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqbaij_seqsbaij_C",
3146                                      "MatConvert_SeqBAIJ_SeqSBAIJ",
3147                                       MatConvert_SeqBAIJ_SeqSBAIJ);CHKERRQ(ierr);
3148   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJSetPreallocation_C",
3149                                      "MatSeqBAIJSetPreallocation_SeqBAIJ",
3150                                       MatSeqBAIJSetPreallocation_SeqBAIJ);CHKERRQ(ierr);
3151   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJSetPreallocationCSR_C",
3152                                      "MatSeqBAIJSetPreallocationCSR_SeqBAIJ",
3153                                       MatSeqBAIJSetPreallocationCSR_SeqBAIJ);CHKERRQ(ierr);
3154   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQBAIJ);CHKERRQ(ierr);
3155   PetscFunctionReturn(0);
3156 }
3157 EXTERN_C_END
3158 
3159 #undef __FUNCT__
3160 #define __FUNCT__ "MatDuplicateNoCreate_SeqBAIJ"
3161 PetscErrorCode MatDuplicateNoCreate_SeqBAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscTruth mallocmatspace)
3162 {
3163   Mat_SeqBAIJ    *c = (Mat_SeqBAIJ*)C->data,*a = (Mat_SeqBAIJ*)A->data;
3164   PetscErrorCode ierr;
3165   PetscInt       i,mbs = a->mbs,nz = a->nz,bs2 = a->bs2;
3166 
3167   PetscFunctionBegin;
3168   if (a->i[mbs] != nz) SETERRQ(PETSC_ERR_PLIB,"Corrupt matrix");
3169 
3170   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3171     c->imax = a->imax;
3172     c->ilen = a->ilen;
3173     c->free_imax_ilen = PETSC_FALSE;
3174   } else {
3175     ierr = PetscMalloc2(mbs,PetscInt,&c->imax,mbs,PetscInt,&c->ilen);CHKERRQ(ierr);
3176     ierr = PetscLogObjectMemory(C,2*mbs*sizeof(PetscInt));CHKERRQ(ierr);
3177     for (i=0; i<mbs; i++) {
3178       c->imax[i] = a->imax[i];
3179       c->ilen[i] = a->ilen[i];
3180     }
3181     c->free_imax_ilen = PETSC_TRUE;
3182   }
3183 
3184   /* allocate the matrix space */
3185   if (mallocmatspace){
3186     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3187       ierr = PetscMalloc(bs2*nz*sizeof(PetscScalar),&c->a);CHKERRQ(ierr);
3188       ierr = PetscLogObjectMemory(C,a->i[mbs]*bs2*sizeof(PetscScalar));CHKERRQ(ierr);
3189       c->singlemalloc = PETSC_FALSE;
3190       c->free_ij      = PETSC_FALSE;
3191       c->i            = a->i;
3192       c->j            = a->j;
3193       c->parent       = A;
3194       ierr            = PetscObjectReference((PetscObject)A);CHKERRQ(ierr);
3195       ierr            = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3196       ierr            = MatSetOption(C,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3197     } else {
3198       ierr = PetscMalloc3(bs2*nz,PetscScalar,&c->a,nz,PetscInt,&c->j,mbs+1,PetscInt,&c->i);CHKERRQ(ierr);
3199       ierr = PetscLogObjectMemory(C,a->i[mbs]*(bs2*sizeof(PetscScalar)+sizeof(PetscInt))+(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3200       c->singlemalloc = PETSC_TRUE;
3201       c->free_ij      = PETSC_TRUE;
3202       ierr = PetscMemcpy(c->i,a->i,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3203       if (mbs > 0) {
3204 	ierr = PetscMemcpy(c->j,a->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
3205 	if (cpvalues == MAT_COPY_VALUES) {
3206 	  ierr = PetscMemcpy(c->a,a->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
3207 	} else {
3208 	  ierr = PetscMemzero(c->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
3209 	}
3210       }
3211     }
3212   }
3213 
3214   c->roworiented = a->roworiented;
3215   c->nonew       = a->nonew;
3216   ierr = PetscLayoutCopy(A->rmap,&C->rmap);CHKERRQ(ierr);
3217   ierr = PetscLayoutCopy(A->cmap,&C->cmap);CHKERRQ(ierr);
3218   c->bs2         = a->bs2;
3219   c->mbs         = a->mbs;
3220   c->nbs         = a->nbs;
3221 
3222   if (a->diag) {
3223     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3224       c->diag      = a->diag;
3225       c->free_diag = PETSC_FALSE;
3226     } else {
3227       ierr = PetscMalloc((mbs+1)*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
3228       ierr = PetscLogObjectMemory(C,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3229       for (i=0; i<mbs; i++) {
3230         c->diag[i] = a->diag[i];
3231       }
3232       c->free_diag = PETSC_TRUE;
3233     }
3234   } else c->diag        = 0;
3235   c->nz                 = a->nz;
3236   c->maxnz              = a->maxnz;
3237   c->solve_work         = 0;
3238   c->mult_work          = 0;
3239   c->free_a             = PETSC_TRUE;
3240   c->free_ij            = PETSC_TRUE;
3241   C->preallocated       = PETSC_TRUE;
3242   C->assembled          = PETSC_TRUE;
3243 
3244   c->compressedrow.use     = a->compressedrow.use;
3245   c->compressedrow.nrows   = a->compressedrow.nrows;
3246   c->compressedrow.checked = a->compressedrow.checked;
3247   if ( a->compressedrow.checked && a->compressedrow.use){
3248     i = a->compressedrow.nrows;
3249     ierr = PetscMalloc((2*i+1)*sizeof(PetscInt),&c->compressedrow.i);CHKERRQ(ierr);
3250     ierr = PetscLogObjectMemory(C,(2*i+1)*sizeof(PetscInt));CHKERRQ(ierr);
3251     c->compressedrow.rindex = c->compressedrow.i + i + 1;
3252     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
3253     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
3254   } else {
3255     c->compressedrow.use    = PETSC_FALSE;
3256     c->compressedrow.i      = PETSC_NULL;
3257     c->compressedrow.rindex = PETSC_NULL;
3258   }
3259   C->same_nonzero = A->same_nonzero;
3260   ierr = PetscFListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
3261   PetscFunctionReturn(0);
3262 }
3263 
3264 #undef __FUNCT__
3265 #define __FUNCT__ "MatDuplicate_SeqBAIJ"
3266 PetscErrorCode MatDuplicate_SeqBAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
3267 {
3268     PetscErrorCode ierr;
3269 
3270   PetscFunctionBegin;
3271   ierr = MatCreate(((PetscObject)A)->comm,B);CHKERRQ(ierr);
3272   ierr = MatSetSizes(*B,A->rmap->N,A->cmap->n,A->rmap->N,A->cmap->n);CHKERRQ(ierr);
3273   ierr = MatSetType(*B,MATSEQBAIJ);CHKERRQ(ierr);
3274   ierr = MatDuplicateNoCreate_SeqBAIJ(*B,A,cpvalues,PETSC_TRUE);
3275   PetscFunctionReturn(0);
3276 }
3277 
3278 #undef __FUNCT__
3279 #define __FUNCT__ "MatLoad_SeqBAIJ"
3280 PetscErrorCode MatLoad_SeqBAIJ(PetscViewer viewer, const MatType type,Mat *A)
3281 {
3282   Mat_SeqBAIJ    *a;
3283   Mat            B;
3284   PetscErrorCode ierr;
3285   PetscInt       i,nz,header[4],*rowlengths=0,M,N,bs=1;
3286   PetscInt       *mask,mbs,*jj,j,rowcount,nzcount,k,*browlengths,maskcount;
3287   PetscInt       kmax,jcount,block,idx,point,nzcountb,extra_rows;
3288   PetscInt       *masked,nmask,tmp,bs2,ishift;
3289   PetscMPIInt    size;
3290   int            fd;
3291   PetscScalar    *aa;
3292   MPI_Comm       comm = ((PetscObject)viewer)->comm;
3293 
3294   PetscFunctionBegin;
3295   ierr = PetscOptionsBegin(comm,PETSC_NULL,"Options for loading SEQBAIJ matrix","Mat");CHKERRQ(ierr);
3296     ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,PETSC_NULL);CHKERRQ(ierr);
3297   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3298   bs2  = bs*bs;
3299 
3300   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3301   if (size > 1) SETERRQ(PETSC_ERR_ARG_WRONG,"view must have one processor");
3302   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
3303   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
3304   if (header[0] != MAT_FILE_COOKIE) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"not Mat object");
3305   M = header[1]; N = header[2]; nz = header[3];
3306 
3307   if (header[3] < 0) {
3308     SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as SeqBAIJ");
3309   }
3310 
3311   if (M != N) SETERRQ(PETSC_ERR_SUP,"Can only do square matrices");
3312 
3313   /*
3314      This code adds extra rows to make sure the number of rows is
3315     divisible by the blocksize
3316   */
3317   mbs        = M/bs;
3318   extra_rows = bs - M + bs*(mbs);
3319   if (extra_rows == bs) extra_rows = 0;
3320   else                  mbs++;
3321   if (extra_rows) {
3322     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
3323   }
3324 
3325   /* read in row lengths */
3326   ierr = PetscMalloc((M+extra_rows)*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
3327   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
3328   for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
3329 
3330   /* read in column indices */
3331   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscInt),&jj);CHKERRQ(ierr);
3332   ierr = PetscBinaryRead(fd,jj,nz,PETSC_INT);CHKERRQ(ierr);
3333   for (i=0; i<extra_rows; i++) jj[nz+i] = M+i;
3334 
3335   /* loop over row lengths determining block row lengths */
3336   ierr     = PetscMalloc(mbs*sizeof(PetscInt),&browlengths);CHKERRQ(ierr);
3337   ierr     = PetscMemzero(browlengths,mbs*sizeof(PetscInt));CHKERRQ(ierr);
3338   ierr     = PetscMalloc(2*mbs*sizeof(PetscInt),&mask);CHKERRQ(ierr);
3339   ierr     = PetscMemzero(mask,mbs*sizeof(PetscInt));CHKERRQ(ierr);
3340   masked   = mask + mbs;
3341   rowcount = 0; nzcount = 0;
3342   for (i=0; i<mbs; i++) {
3343     nmask = 0;
3344     for (j=0; j<bs; j++) {
3345       kmax = rowlengths[rowcount];
3346       for (k=0; k<kmax; k++) {
3347         tmp = jj[nzcount++]/bs;
3348         if (!mask[tmp]) {masked[nmask++] = tmp; mask[tmp] = 1;}
3349       }
3350       rowcount++;
3351     }
3352     browlengths[i] += nmask;
3353     /* zero out the mask elements we set */
3354     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
3355   }
3356 
3357   /* create our matrix */
3358   ierr = MatCreate(comm,&B);
3359   ierr = MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,M+extra_rows,N+extra_rows);
3360   ierr = MatSetType(B,type);CHKERRQ(ierr);
3361   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(B,bs,0,browlengths);CHKERRQ(ierr);
3362   a = (Mat_SeqBAIJ*)B->data;
3363 
3364   /* set matrix "i" values */
3365   a->i[0] = 0;
3366   for (i=1; i<= mbs; i++) {
3367     a->i[i]      = a->i[i-1] + browlengths[i-1];
3368     a->ilen[i-1] = browlengths[i-1];
3369   }
3370   a->nz         = 0;
3371   for (i=0; i<mbs; i++) a->nz += browlengths[i];
3372 
3373   /* read in nonzero values */
3374   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
3375   ierr = PetscBinaryRead(fd,aa,nz,PETSC_SCALAR);CHKERRQ(ierr);
3376   for (i=0; i<extra_rows; i++) aa[nz+i] = 1.0;
3377 
3378   /* set "a" and "j" values into matrix */
3379   nzcount = 0; jcount = 0;
3380   for (i=0; i<mbs; i++) {
3381     nzcountb = nzcount;
3382     nmask    = 0;
3383     for (j=0; j<bs; j++) {
3384       kmax = rowlengths[i*bs+j];
3385       for (k=0; k<kmax; k++) {
3386         tmp = jj[nzcount++]/bs;
3387 	if (!mask[tmp]) { masked[nmask++] = tmp; mask[tmp] = 1;}
3388       }
3389     }
3390     /* sort the masked values */
3391     ierr = PetscSortInt(nmask,masked);CHKERRQ(ierr);
3392 
3393     /* set "j" values into matrix */
3394     maskcount = 1;
3395     for (j=0; j<nmask; j++) {
3396       a->j[jcount++]  = masked[j];
3397       mask[masked[j]] = maskcount++;
3398     }
3399     /* set "a" values into matrix */
3400     ishift = bs2*a->i[i];
3401     for (j=0; j<bs; j++) {
3402       kmax = rowlengths[i*bs+j];
3403       for (k=0; k<kmax; k++) {
3404         tmp       = jj[nzcountb]/bs ;
3405         block     = mask[tmp] - 1;
3406         point     = jj[nzcountb] - bs*tmp;
3407         idx       = ishift + bs2*block + j + bs*point;
3408         a->a[idx] = (MatScalar)aa[nzcountb++];
3409       }
3410     }
3411     /* zero out the mask elements we set */
3412     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
3413   }
3414   if (jcount != a->nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Bad binary matrix");
3415 
3416   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3417   ierr = PetscFree(browlengths);CHKERRQ(ierr);
3418   ierr = PetscFree(aa);CHKERRQ(ierr);
3419   ierr = PetscFree(jj);CHKERRQ(ierr);
3420   ierr = PetscFree(mask);CHKERRQ(ierr);
3421 
3422   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3423   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3424   ierr = MatView_Private(B);CHKERRQ(ierr);
3425 
3426   *A = B;
3427   PetscFunctionReturn(0);
3428 }
3429 
3430 #undef __FUNCT__
3431 #define __FUNCT__ "MatCreateSeqBAIJ"
3432 /*@C
3433    MatCreateSeqBAIJ - Creates a sparse matrix in block AIJ (block
3434    compressed row) format.  For good matrix assembly performance the
3435    user should preallocate the matrix storage by setting the parameter nz
3436    (or the array nnz).  By setting these parameters accurately, performance
3437    during matrix assembly can be increased by more than a factor of 50.
3438 
3439    Collective on MPI_Comm
3440 
3441    Input Parameters:
3442 +  comm - MPI communicator, set to PETSC_COMM_SELF
3443 .  bs - size of block
3444 .  m - number of rows
3445 .  n - number of columns
3446 .  nz - number of nonzero blocks  per block row (same for all rows)
3447 -  nnz - array containing the number of nonzero blocks in the various block rows
3448          (possibly different for each block row) or PETSC_NULL
3449 
3450    Output Parameter:
3451 .  A - the matrix
3452 
3453    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3454    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3455    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3456 
3457    Options Database Keys:
3458 .   -mat_no_unroll - uses code that does not unroll the loops in the
3459                      block calculations (much slower)
3460 .    -mat_block_size - size of the blocks to use
3461 
3462    Level: intermediate
3463 
3464    Notes:
3465    The number of rows and columns must be divisible by blocksize.
3466 
3467    If the nnz parameter is given then the nz parameter is ignored
3468 
3469    A nonzero block is any block that as 1 or more nonzeros in it
3470 
3471    The block AIJ format is fully compatible with standard Fortran 77
3472    storage.  That is, the stored row and column indices can begin at
3473    either one (as in Fortran) or zero.  See the users' manual for details.
3474 
3475    Specify the preallocated storage with either nz or nnz (not both).
3476    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
3477    allocation.  For additional details, see the users manual chapter on
3478    matrices.
3479 
3480 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateMPIBAIJ()
3481 @*/
3482 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3483 {
3484   PetscErrorCode ierr;
3485 
3486   PetscFunctionBegin;
3487   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3488   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3489   ierr = MatSetType(*A,MATSEQBAIJ);CHKERRQ(ierr);
3490   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(*A,bs,nz,(PetscInt*)nnz);CHKERRQ(ierr);
3491   PetscFunctionReturn(0);
3492 }
3493 
3494 #undef __FUNCT__
3495 #define __FUNCT__ "MatSeqBAIJSetPreallocation"
3496 /*@C
3497    MatSeqBAIJSetPreallocation - Sets the block size and expected nonzeros
3498    per row in the matrix. For good matrix assembly performance the
3499    user should preallocate the matrix storage by setting the parameter nz
3500    (or the array nnz).  By setting these parameters accurately, performance
3501    during matrix assembly can be increased by more than a factor of 50.
3502 
3503    Collective on MPI_Comm
3504 
3505    Input Parameters:
3506 +  A - the matrix
3507 .  bs - size of block
3508 .  nz - number of block nonzeros per block row (same for all rows)
3509 -  nnz - array containing the number of block nonzeros in the various block rows
3510          (possibly different for each block row) or PETSC_NULL
3511 
3512    Options Database Keys:
3513 .   -mat_no_unroll - uses code that does not unroll the loops in the
3514                      block calculations (much slower)
3515 .    -mat_block_size - size of the blocks to use
3516 
3517    Level: intermediate
3518 
3519    Notes:
3520    If the nnz parameter is given then the nz parameter is ignored
3521 
3522    You can call MatGetInfo() to get information on how effective the preallocation was;
3523    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3524    You can also run with the option -info and look for messages with the string
3525    malloc in them to see if additional memory allocation was needed.
3526 
3527    The block AIJ format is fully compatible with standard Fortran 77
3528    storage.  That is, the stored row and column indices can begin at
3529    either one (as in Fortran) or zero.  See the users' manual for details.
3530 
3531    Specify the preallocated storage with either nz or nnz (not both).
3532    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
3533    allocation.  For additional details, see the users manual chapter on
3534    matrices.
3535 
3536 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateMPIBAIJ(), MatGetInfo()
3537 @*/
3538 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt nz,const PetscInt nnz[])
3539 {
3540   PetscErrorCode ierr,(*f)(Mat,PetscInt,PetscInt,const PetscInt[]);
3541 
3542   PetscFunctionBegin;
3543   ierr = PetscObjectQueryFunction((PetscObject)B,"MatSeqBAIJSetPreallocation_C",(void (**)(void))&f);CHKERRQ(ierr);
3544   if (f) {
3545     ierr = (*f)(B,bs,nz,nnz);CHKERRQ(ierr);
3546   }
3547   PetscFunctionReturn(0);
3548 }
3549 
3550 #undef __FUNCT__
3551 #define __FUNCT__ "MatSeqBAIJSetPreallocationCSR"
3552 /*@C
3553    MatSeqBAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format
3554    (the default sequential PETSc format).
3555 
3556    Collective on MPI_Comm
3557 
3558    Input Parameters:
3559 +  A - the matrix
3560 .  i - the indices into j for the start of each local row (starts with zero)
3561 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3562 -  v - optional values in the matrix
3563 
3564    Level: developer
3565 
3566 .keywords: matrix, aij, compressed row, sparse
3567 
3568 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatSeqBAIJSetPreallocation(), MATSEQBAIJ
3569 @*/
3570 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3571 {
3572   PetscErrorCode ierr,(*f)(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
3573 
3574   PetscFunctionBegin;
3575   ierr = PetscObjectQueryFunction((PetscObject)B,"MatSeqBAIJSetPreallocationCSR_C",(void (**)(void))&f);CHKERRQ(ierr);
3576   if (f) {
3577     ierr = (*f)(B,bs,i,j,v);CHKERRQ(ierr);
3578   }
3579   PetscFunctionReturn(0);
3580 }
3581 
3582 
3583 #undef __FUNCT__
3584 #define __FUNCT__ "MatCreateSeqBAIJWithArrays"
3585 /*@
3586      MatCreateSeqBAIJWithArrays - Creates an sequential BAIJ matrix using matrix elements
3587               (upper triangular entries in CSR format) provided by the user.
3588 
3589      Collective on MPI_Comm
3590 
3591    Input Parameters:
3592 +  comm - must be an MPI communicator of size 1
3593 .  bs - size of block
3594 .  m - number of rows
3595 .  n - number of columns
3596 .  i - row indices
3597 .  j - column indices
3598 -  a - matrix values
3599 
3600    Output Parameter:
3601 .  mat - the matrix
3602 
3603    Level: intermediate
3604 
3605    Notes:
3606        The i, j, and a arrays are not copied by this routine, the user must free these arrays
3607     once the matrix is destroyed
3608 
3609        You cannot set new nonzero locations into this matrix, that will generate an error.
3610 
3611        The i and j indices are 0 based
3612 
3613 .seealso: MatCreate(), MatCreateMPIBAIJ(), MatCreateSeqBAIJ()
3614 
3615 @*/
3616 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt* i,PetscInt*j,PetscScalar *a,Mat *mat)
3617 {
3618   PetscErrorCode ierr;
3619   PetscInt       ii;
3620   Mat_SeqBAIJ    *baij;
3621 
3622   PetscFunctionBegin;
3623   if (bs != 1) SETERRQ1(PETSC_ERR_SUP,"block size %D > 1 is not supported yet",bs);
3624   if (i[0]) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3625 
3626   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3627   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
3628   ierr = MatSetType(*mat,MATSEQBAIJ);CHKERRQ(ierr);
3629   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(*mat,bs,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
3630   baij = (Mat_SeqBAIJ*)(*mat)->data;
3631   ierr = PetscMalloc2(m,PetscInt,&baij->imax,m,PetscInt,&baij->ilen);CHKERRQ(ierr);
3632   ierr = PetscLogObjectMemory(*mat,2*m*sizeof(PetscInt));CHKERRQ(ierr);
3633 
3634   baij->i = i;
3635   baij->j = j;
3636   baij->a = a;
3637   baij->singlemalloc = PETSC_FALSE;
3638   baij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
3639   baij->free_a       = PETSC_FALSE;
3640   baij->free_ij       = PETSC_FALSE;
3641 
3642   for (ii=0; ii<m; ii++) {
3643     baij->ilen[ii] = baij->imax[ii] = i[ii+1] - i[ii];
3644 #if defined(PETSC_USE_DEBUG)
3645     if (i[ii+1] - i[ii] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Negative row length in i (row indices) row = %d length = %d",ii,i[ii+1] - i[ii]);
3646 #endif
3647   }
3648 #if defined(PETSC_USE_DEBUG)
3649   for (ii=0; ii<baij->i[m]; ii++) {
3650     if (j[ii] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
3651     if (j[ii] > n - 1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column index to large at location = %d index = %d",ii,j[ii]);
3652   }
3653 #endif
3654 
3655   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3656   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3657   PetscFunctionReturn(0);
3658 }
3659